O problema do estacionamento
[b]Objetivo:[/b] Perceber que uma equação com duas incógnitas tem infinitas soluções e que isoladamente ela não define um único valor.
[b]O estacionamento[/b][br] Em um estacionamento há carros e motos. Ao todo, há 12 veículos. Quantos carros e quantas motos podem estar lá?[br][br]Preencha a tabela abaixo com algumas soluções.
1. Essas são as únicas soluções possiveis?
2. Esse problema possui quantas soluções? são infinitas?
A Festa de Lucas
[b][color=#a64d79]Você lembra do problema do aniversário de Lucas?[/color][/b][br][br][justify]Laís é a mãe de Lucas. Para realizar a festa de aniversário dele, ela alugou 20 mesas e 80 cadeiras.[br]Além disso haviam 10 cadeiras brancas a mais que pretas.[br]Quantas eram as cadeiras de cada cor?[/justify]Chegamos nas equações: [br][br][math]x+y=80[/math] e [math]x-y=10[/math][br][br]Insira no campo de entrada abaixo cada uma das equações e veja o que acontece.
O que aconteceu com as duas retas (funções)?
Olhando apenas para o desenho no plano cartesiano você consegue dizer a resposta? Porque?
[b][color=#1155cc]HORA DE PRETICAR![/color][/b][br]Volte no aplet e use a ferramenta [icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon] (interseção) e clique em cima de cada uma das retas para marcar o ponto de encontro delas.[br][br][b]Observação:[/b] Esse ponto de interseção é onde as duas retas se cruzam. Isso significa que as coordenadas desse ponto representam a única resposta que resolve os dois problemas [b]ao mesmo tempo[/b]!
Sabendo disso, qual o valor de [math]x[/math] e o valor de [math]y[/math], respectivamente, para a quantidade de cadeiras brancas e cadeiras pretas?
[b][color=#741b47]Você ganhou um superpoder matemático![/color][/b][br][br]Viu como fica simples resolver qualquer desafio agora? O segredo é modelar o problema com as [b]funções[/b] e deixar que o GeoGebra encontre a [b]interseção das retas[/b] para você. O ponto onde elas se cruzam revela a resposta num piscar de olhos!
Classificando um Sistema de Equações
[color=#ff00ff][b]Investigando as Exceções[/b][/color][br]Será que todo sistema se cruza em um único ponto?
[color=#980000][b]2º caso:[br]As Retas Gêmeas[/b][br][br][/color]Imagine que você recebeu duas pistas sobre um problema, mas percebe que a segunda pista diz exatamente a mesma coisa que a primeira, só que de um jeito diferente.[br]No GeoGebra, isso cria um efeito visual curioso que vamos investigar agora.[br][color=#38761d][br]Atividade 1: O Mistério das Identidades[br][br][/color]1º Digite no campo de entrada do GeoGebra a equação:[br][math]x+y=10[/math][br]2º Agora, digite a segunda equação e veja o que acontece:[br][math]2x+2y=20[/math]
Onde foi parar a segunda reta?
Quantas são as soluções para este sistema?
[color=#741b47][b]Retas Coincidentes[br][/b][/color]Ao digitar a segunda equação, parece que a primeira "mudou de cor" ou que a segunda sumiu. Na verdade, elas estão exatamente uma sobre a outra.[br][list][*]Elas possuem o mesmo declive.[/*][*]Possuem os mesmos pontos.[/*][*]Qualquer solução da primeira resolve a segunda.[/*][/list][color=#38761d][br][b]Resolva o sistema anterior no seu caderno (como já aprendemos em sala) e veja o que acontece.[/b][br][br][/color]
Você chegou a uma resposta? O resultado que você encontrou é verdadeiro ou falso?
[br][color=#a64d79][b]Sistema Possível e Indeterminado (SPI)[/b][/color][br][br]Dizemos que o sistema é [b]Possível e Indeterminado[/b]. É possível porque tem resposta, mas é indeterminado porque existem tantas soluções que não podemos listar apenas uma.[br][br]A matemática nos diz: se uma regra é [b]múltipla[/b] da outra, elas são "a mesma regra".[br]Note que pegamos a primeira equação ([math]x+y=10[/math]) e multiplicamos todos os termos por 2 ([math]2x+2y=20[/math]).[br][br]Ou seja, quando multiplicamos todos os termos da equação por um número qualquer obtemos a mesma reta.
[color=#85200c][b]3º caso[br]O Encontro Impossível[/b][br][br][/color]Agora, e se as regras forem contraditórias? Imagine tentar encontrar dois números cuja soma seja 5 E 10 ao mesmo tempo.[br]Isso desafia a lógica, e o gráfico no GeoGebra mostrará exatamente por que isso não funciona[color=#85200c].[br][/color][br][b]Atividade 2:[/b][br][br]1º No GeoGebra, limpe o gráfico e digite:[br][math]x+y=5[/math][br]2º Tente adicionar esta condição conflitante:[br][math]x+y=10[/math]
Onde foi parar a segunda reta?
Quantas são as soluções para este sistema?
Retas Paralelas[br][br][color=#9900ff][b]Sistemas Impossíveis (SI)[br][br][/b][/color]As retas correm lado a lado, mas nunca se tocam. Como não há ponto de interseção, o problema não tem solução.[br][br][b]Dica de Investigação:[/b] [br]Tente usar a ferramenta "Interseção" do GeoGebra nestas retas. O que o software te diz?[br][b][color=#741b47][br]Vamos analisar outro caso: [/color][/b][br]Construa o seguinte sistema no aplet abaixo.[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAN8AAAB0CAYAAAAFIucBAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABeiSURBVHhe7Z0JnE3lG8cfLZ82JbIVGlkHYx9bzSSMtaII2bexbw2G0N+IpCxli7FEqBRm+iiExMguBmksjSXbyBZKUtT9v7/HOdOZe++s99y55977fD+f83HOPXdmnPe8z/s+2/u8Of65fdtGgiBkO3dp/wqCkM2I8AmChxDhEwQPIcInCB5ChE8QPIQInyB4CBE+QfAQInyC4CFE+ATBQ4jwCYKHEOETBA/hduGz2Wy0b/9+evnll6l8hQp06PBh7Y4g+DduFb7r16/TqKgoat68Oe3/4QcKDQ2lAvnza3cFwb9x26qGo0ePUu8+fejYsWN011130dvjxlGLFi3o7rvv1r4hCP6NW4TvhwMHqGvXrvTrr7+y4M2YPp0aNWqk3RUEAZiudp49e5YiIiJY8HLkyEFTp0wRwRMEJ5gqfH/88QcNHzGCTpw4wdetW7emhg0b8rkgCCkxVfhWrFhBW7Zs4fP8+fNTj+7d6Z577uFrQRBSYprwXb58mRYtWqRdEc94AQEB2pUgCPaYJnwJCQmUePQon2O2e+GFF9jmEwTBOaYJ38a4OA6og6eeeoqKFyvG54IgOMcU4btx4wYlJiZqV0SFChWihx56SLsSBMEZpggfZrx/bt/Wrojy5MlD9913n3YlCIIzTFM7BSEtrly5whpSWvz11190/vx57cr3EeETsoXPP/+cgsqXpzZt2tDHH39M3377LZ08eZJDU0uXLuVUxHJBQfT+lCnaT/g+pqSXIbgeHh5OO3ft4mskUk+aOJHPBQFER0fThHT6REhICE2bOpUeffRR7RPfRma+VDh16hR98skndNtgywruAfm/PXv2pDmzZ/uN4AERvlSA93aWGq2RoyqYw7333kt16tShJ598kh5//HEKCwujd8aPp++VxjRs6FC6//77tW/6B6YIH2aHP//8U7sSBOfky5ePxr/9NsVt3Ehbla2Hma5Vq1aUO3du7Rv+hSnCBy/VpcuXtStBEDKCpdXOf/75h13U+NceCPxvv/2mXXknaT2f4PtYUvjOnTtH/fr3p5KlSlHV4GAqHRhI706YQDdv3qSLFy9Sr969qUzZslSpcmWqU7cuHTx0SPtJ7wBJCXDmoKYNng/PAve7np5n5Pfff6chkZHUsVMnunDhgvapdwMzBQuuv/76aw41YADyRywnfKj18mLTppQ3b17avm0bHVDXKD8xW9kHkcoo76+EEob5nt27acmSJVwn5o2RI7mTegMQsDlz5lC0eh7YPDExMZyIPmnyZPrJkKKns2HDBoqNjaW9e/fSZS93/vz777/01VdfUZWqValt27b01rhx1LVbNx6AMNhiYPUnLCV8mPGGKgHrHh5OUaNGUYECBThHtH379vTAAw/QqlWrWN3EvYuXLlHfvn15KdMF9dK8xeGDlR+LFi9mxwPiWpgFcECFPnP6tPatO0BQt2zdyudPPPFEpopP4XeOU3/jGfU3zDrC6ten3Xv2aH8h8/zyyy80f8ECmh0dzYMqnC4/7N/PTpfVq1dThw4duBKCv2Ap4Vu6bBnlyZ2bhc24HAnq5q1bt/gcJQjhHTt96lRyGKB48eL0yCOP8LnVwWxdVY38NWvW5GvM4BAUDC751WBjBOrYD6qTgjJlymTKK4hCVUHlylHt2rVNO1B9Ln++fNpfyDx4RzNnzqRatWolv19oMUMGD+Z3iJl//DvvcHv4BchwcfU4l5RkUw1qCwgI4CMiIsLp99I6Ll64YAsLC7PFxsQ43Pt48WL+veoF2Xbs2MGfqVnCFh4eblOjpu1oYqLDz7h6rFu7lp8Jz+bsflYO+2f87do1W6uWLfnZ8C+ujd+Pj4+3lS5dmu+jDYz3vO3As126eNF2+9Yth3v4TJkT/JxFixa1bdywweE7vniYkl4GR0BzZZclJSXxdVbSy6BiQfXKmTNnivKC+Dxi0CD68ssvqWTJkrTk00951URWQUnDhYsWpethPHPmDO3cuZMaN25MDz74oPapc0qoUbtjx47plszAs1y7do2fEd+NV3Ycch0xq4+OiuLfYQSz5Mg33uDvwkFTTdlGvoox/axTp05sWvg6llE7oYbkypXLoa4nVK9Dmjczs6qX1cAzIn1KF1I4UyB4UMdqaGqoDlSvzVo9HH9bnIzsovRWQPgClpn5UgPeT8wOsPvGvfUWn2cHyLqPGj2alIrIxaDMBjMgRni43GFLwQlhTK+CPdumbVvuiCi9iITj9GZWq4KEeziYHlaDzIR33+XUMnuMM1+N6tVp3rx5Pr8g2/LCp6te6Jg4r1ihgnbHvbhb+A78+CO9+uqr7KUdGhlJvXr10u7c4fvdu6ldu3Y8A44cMYK6deum3ckYUHGhqusrTcwAC6S7dO7MuZkZBTNYj549adu2bXwNzybyOe3xR+GzjNqJzoINVd5RIyNmA2BUvYoUKUJFChfmcx0sZerbrx/HjryNC+fPs+BBFS1fvrz26X8cVTMenh+zXYWKFbVPMw5s2h8TEmjTpk2mHZs3b+awTmbAe1UDvHZ15/+Fz+y5rt6lTqAyL/yhDIllhG/vvn1cZBcBaKgoEKxLly7RAU0QnYUTEg4epP1KYEuVLq194n1gRn9E2bpGzLD3ILSYMRFLM+tY/803FFy1qvYXMgZmy9x58vCyoeeff55neWMYCeB5jx8/zuf4Xr26dfnc17GM8O3auTM5lofOiM6zW6leetAVHkejzYOMlmnTpnF90FIlS2qfeg/6s+CZYc8awaCiq2neFMN0Bp6zWdOm9PDDD7PqjJUN9hxTgqc/L+K4egzU17GM8MHTCeDaf2vsWM52maqECy8CoyHUMD2ojnsoOwBeGzjQYST1BoKCgnjQwKi/ceNGVsdwrFu3jlOv9KTx0JCQFIOON1KvXj1+r8hI2r59ewq1EyEdrOXD81ZQ6vegiAivf96MYhnhQ5HdZ599lpNtGzdpwqlMWGz50YIFHAND8nTNWrUouFo1CgkN5ZgfciMxonojjz32GM2YMYNnNjgbKlaqxAeSqAM1NRoqadly5fjcm4EwIf/26aefpnbt23NuJ9LV8D6frV2bbfwm6p1/9NFHTj2hvoqlvJ0Y+TES/vzzz1ROdTokV+tAzYR9h9XQmDXcbZC729upoz/zTz/9RAUKFqSSJUrQ4CFDaM2aNaYkFVgJzHhIcoiJjeXYLdRpDD4vNWtGRYsW1b7lP1g+1OAp3Cl8aC9U8woMDOTZ3ag2H1FCCMcT1LCBSqUeOGCAdkfwNSyjdlqNgIAAXl1h9qwDexWqF0rkDXv9dd65VwczA8roQfAQS2uhBjHBdzFF+KA6Ya2WDnIdvZ0SSv1DBorZxj/US13gYPcZq3WtXbuWFi5cyA6m14cNo8J2cU3BtzBF+BB4vXr1qnZ1JwdTcE4eJXBYPgR7buYHH7Bdixlv/fr1bOtB8JBKJpuK+j6mCN/BhITkWFXBggWpmOxQlCpllJ2HWBYcD5GRkax61m/QgHr26sVezlUrV7LnzxvDJ0LmcNnhgpXliLnFxcXxNVYjIzQgnSd1MNMdPnKE1UysxK9cqRIvMPUnN7tggvAZE4ShTn322WdUPihIuysIQmq4pHYiOwOLPPX6KRBClC4QBCF9XBI+qJrLly/ncyz16de3r6ibgpBBsix8SHhGsRuEGBCTmjhxot+W/RaErJAl4YPgIUP9xIkTnByM/EvExQRByDiZFj6UdWjVujWXeUMsCg4Wf8zLEwRXyZS3E9W8kBqFtXWop4J4lH3BI0EQMkbmZr4cOTgDQxAE18mUJKGwDYryoIz7wNde4/op/lZfXxDMIktBdl5J3rs3L4JEVsbcuXOprORzCkKmyHKGCzye2LYKHk8su5k/fz6XARAEIWO4lF6GvdU6d+nCsT6EHJDtgmUygiCkj0veExQ3euWVV/gcoYeZs2alKI4jCELquCR8WGjaRc18emk77K6K+puCIKSPy3GDogEBVKVKFT5HDUpUoELCtSAIaeOy8KEicf2wMO2KuNAtvKGCIKSNy8IHUFtS32EHW/8eOXKEzwVBSB1ThA9bBRsLAaFEgiAIaWOK8CG/05h2dtRQDi+rwGuKjTGRyI1aljgXT6pzUGoQbYS2QlkKVJMTMgf2ihgzdiwXMM4uTBE+M4GAoZ5/g4YNqWpwMBcbQp1/nFerXp23A5POdQdsnNmiRQuqVLkytxHaCm1UvkIF3u3JfgMWwTmokD5o8GAuZHzFUIXP3VhK+CB4H374IXXo2JFq1KhB365fz1tToZQeithioxTklA4YOJDLx/szKL70YtOm9FjevLRq1SraoQYsrKtERQEIHfY5RFkPcX6lDTzzkyZP5iri2Y2lhG/r1q3cEO+/9x6NHTOG96ZD7ig2UfkiNpaqqdkPYDOVdydMsHRIAwPFokWL3DJIIKEBu/WibMesmTO5HCFK2mOjGezei3L9ALm3KE2IvQ4F56xcuZJWr16tXWUvlhE+lCCcr0ZueE3hMdWLMunAodO/f/9k23LZsmXJO9hakbNJSTRbqX4/nzypfWIeEDDYeb8pwcbe7kbQfj169Eguc48UQGxBJjgCdRNbUXuq7pBlhA+dCKXU0alQGwZ7GdiD7ZP16mgI6GNDTX8Ds9jhQ4d41se+5cNHjOCBy0gxpTFUV7afzqbvvhNnlR1ovw+U1lC2bFmPVQe3lNppBPsZ2HcqpLEVVR1LxwyvqreD0dterUTan7GE45nTp+nGjRvalQBgM0MrGDp0KFdm8ASWET6oSbBZdBrUr8/ZM0agHmRm4xJ4RRGicOYdhWBjlvU20FGee+457Yq4zZxVjctoxQEIrr/ZhAgnTH7vPerfr59HtxS3jPBBqOBk+X7XLtq3dy976uxBJzl96pR2dWdfCGfAw9dP2YclS5XiEEXpwEB20MALiJX3vXr3pjJK3YCLvk7durzrrbeAAQg23Z7du/kYMXy4g80CFRPl6HVyq4HNfiBDG6GNEZbAgdUpqXlGN23aRA0bNWJb09uBuontxrEDVLNmzbRPPYOl1E4E67EeUF8lYc+Zs2c5mAywQ21dJTj2INAMFzx2/9m+bRsdUNeIhc2ePZsilYoBpw2cEui46EzXr1/nLYu9KXQBYcNsh8Ne8AAC7QkJCdoVUZPGjVNoDPpCaAxOaIemqr3i1YAXrdrI3jaELf7+++9zTBFt6+1gN6jvlA08bNgwt+9unB6WtfnsQafQN44ELVu2dFg5j5EbOjw2tYwaNYprzaCB27dvz/tIIB4GdRP3Ll66xBv0o6NiizN776o3s27duuQ9AENCQqhOnTp8DtCO8CojbjpyxAje0/7vv//mez+p2dLeNjyl7MVELV0QMcTMcOjwYZ4xsf+6WQdCLFlNHsCgA3UT/aOc0nw8jdcIH0Zd1AgF2Fh/mBIye/tv6bJllEfNBhA244yAlwXvKEAWCGYMqK+IxQHsC57abOttwJ6ZM3cunyNOOv7tt1OM8BBKCGefPn1YA7ikBqEDWsimcJEiDs6HH9U9DEz4LhLoM8OjuXJRaGgo1a5d27SjUsWKmbL7daBuzoqO5rhxmzZttE89DMpIuHqcS0qy1apVy6ZGUz4iIiKcfi+rx9UrV2yqwfh3v/jCC7Yzp087fOfihQu2sLAwW2xMjMO9jxcv5p9VQmbbsWMHf4bfER4ebmvVqpXtaGKiw8+4euzbt89Ws2ZN/tfZfXccf928aVPqFD8r/rYSKofvoC3Qhr9evszXa9esSX5vODd+9/atWzalpvM9tC3a2Hjfmw48W3BwsC0+Pt7hHvornjEwMDBb35fLW4QBpOY0V3ZVUlISXyPDYtLEiXzuKhixRkVF8awHFQqpZsYVFDpQp6CS5syZM0UhX3weMWgQlzzEbrBLPv3UpX3W8axz581L10MIdRbBbah86dW1gXrctUsXVgGzCp4T+ZxwLMGDF61GeWeVxKF248BMj7ZFTiOyPDD7o21gK+tAM2jTti3be42U+oi2z8qs42lgjqDWUHOl9cBZZW8nD4mMpNjY2Gzf4s7Saic6FHI90SAvvfQSRc+a5VTwABo0l1Jz7CtoI9RwSPNmYrtqX93MBXGriZMmUfVq1Wjx4sWplvCH11NXsTFYogo5gCpvP0gcO36cq9OBUDXweaPgoQ/NU30ot+o3bdVA4sxB5SksO/Oh0TAaIYOjc+fONFSNTll5+bAVoePD7kOJ++zS97FpaK9evXgGcvdIipxYFDB+5pln6J3x4zM8g65YsYK1AnTIBfPnp4izAniD4eBAu6MynZ5b603A6aNMC+5PGJydgfATtAAArQgDVOFChWjmzJlurcZnWeFbs2YNr16AR7Jvnz4Ogvf68OH8LzpbWugdCA4DnGfWY5dVskv4MLh06tSJwy5vjR3r4DCB5rAxLo7mzJ6d4h4649BhwygmJoYKqY62bOnSFHFTdEa0P94DtoBbvmxZCpU0I0Dd+1AJtZnZNdhCG06zjA7EiHcOioiga6kkVKAd0H9R/hJkp/BZUu1Eh3rjf//j2W5A//4ODQ1764RSiVC8SQeNuG//fl5KoydcowNt3rKFz4sUKUJFChfmcx38HswYWCPojcB1PmTIEF71MUE9t73goU0wCECo7O9BIJB2BmAL26vjsJ/1cAXyH1NT99Pi6rVrtHnzZg7Sm3XgHeuzVEYILF2aVy1gaZqz45t165JndNh8CxYs4M+xts+dggcsJ3wQHJSih9BhD0BnOroebEen0UHJwtatW7PTAe51CJbRje4snJBw8CDtVy+zlHpB3gYEr3v37uzQGR0V5XQm0IPtJdSzp4U+2hsxw97DUqe1aua07/CuHDAdoMX4AqYIH+JIhZ54QrvKOuhQEUpFwJKi0W++ScVLlKBiquPYH1i1jbhd/gIFtJ8kXuGgx/IeUbo9OgsqqeF3Aoz8xg6EjJZp06ZxRrsn8/uyAv7vWKcHlQorGzB4OGun6jVq8OxlHKR0MKjdrbUHZkHjbILzL774gv9Fm5XwsvbxFkyb+VzdOgwzFZwr+mibHlCTCuTPr11RsjENwYTtA3sDOXyoqo3/29HExOSgOu71VnYkeE3ZNVbygKUHBALhBNQcyQhQpYyDlA4GI6Sdgfj4eDqprTvEbNl/wIDkhAYE6osXK8bnvgKcb1BhkTH15pgxyWYKkgkmT57MxZ9xP6uZNBnFMmonhO+4UnUyCmZaY+YG7B5467DKvXGTJhRWvz6FhYVxaQWoZUierlmrFgVXq0YhoaE8G8AJ4UpszRMgRncsE9XhMCjlTcV2gRcQzgg4HOo3aMBtg9nyorqG0AJfDM/AnoUTDk675cuXp0gtRN4n4sq47+5VL6Z4OyE44eHhtHPXLr42M8ieGbB0COlVWONWrly5FN45qGqw75CQHRQU5Pak2uwMNbgK3t+P6v+LJPOKFSvSCdV+7dq141k2O8Mz/oblHC6ugAB7QEAA5wDau8UxwyFDBoWZ3C14VgeDFLJvpkydyjEutAfapV69euzhQ8YLBA9eUrSZ4B58SvisBOzRzp06pQiHWAW407spTQUOJ+wsZQQrGLD6A3Ro357XvQnuQYTPTaCaGEIBVrMp4dmM27RJuyJ6ypCGBtV8zJgx7JhCupn96hDBXEwRPqPbGiBUYGZWg2AecKRgWQ3e2ZDBg9npAq5evcoZL/CiQtWcMX261zmjvA1THC4ALtuFCxfyeVbTkYTsAa71rl27sl2H9XbwoMbFxXFMD6GXjh07+kwg28qYJnxw0XZRLxQpTXiJ3pqI6y/As4mSCnvi49nJAjWzSuXKKRIRBPdimvDBXkCCL3LvQIcOHTi+JjaDIDjHNIcL7AN9f3aA9WV61oQgCI6Y6u1EKTY9LoSsCVQEhl0hCIIjpgofgrVYUYB8QIC1YgjYCoLgiGk2nxF9gSdy42DAT9dWDwiC8B9uCbJjtThCDVhDB7UTC1aRQS6bWgrCf7hl5tOBOxvr8lCLBQRXrUozZszg7A9B8HfcMvPpoIzfxAkTeBk/am9gU8fL2po6QfB33DrzCYKQOm6d+QRBSB0RPkHwECJ8guAhRPgEwUOI8AmChxDhEwQPIcInCB6B6P+27/DiuLyX1AAAAABJRU5ErkJggg==[/img][br][br][br]
Esse sistema também cria retas paralelas. Como saber sem usar o geogebra: [br][br]Note que o lado esquerdo da segunda equação ([math]2x+2y[/math]) é exatamente o dobro do lado esquerdo da primeira. Portanto, para manter a igualdade (o sistema ser possível e indeterminado), o resultado correto deveria ser [math]=10[/math]. Como o sistema afirma que esse mesmo dobro vale 4, chegamos a uma contradição matemática ([math]10=4[/math]). Por isso, esse sistema não tem solução e é classificado como [b]impossível[/b].[br][br][color=#073763][b]Resolva o sistema anterior no seu caderno (como já aprendemos em sala) e veja o que acontece.[/b][br][/color]
Você chegou a uma resposta? O resultado que você encontrou é verdadeiro ou falso?
[color=#38761d][b]Desafio Final[/b][/color][br]Crie seu próprio sistema impossível agora mesmo![br][br]Como você explicaria para um colega por que ele não tem solução?
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[/img][br][br]