IM Alg1.7.3 Lesson: Solving Quadratic Equations by Reasoning

[size=150]How many solutions does each equation have? What are the solution(s)? Be prepared to explain how you know.[/size][br][br][math]x^2=9[/math]
[math]x^2=0[/math]
[math]x^2-1=3[/math]
[math]2x^2=50[/math]
[math]\left(x+1\right)\left(x+1\right)=0[/math]
[math]x\left(x-6\right)=0[/math]
[math]\left(x-1\right)\left(x-1\right)=4[/math]
Each of these equations has two solutions. What are they? Explain or show your reasoning.
[math]n^2+4=404[/math]
[math]432=3n^2[/math]
[math]144=(n+1)^2[/math]
[math](n-5)^2-30=70[/math]
How many solutions does the equation [math]\left(x-3\right)\left(x+1\right)\left(x+5\right)=0[/math] have? What are the solutions?[br]
How many solutions does the equation [math]\left(x-2\right)\left(x-7\right)\left(x-2\right)=0[/math] have? What are the solutions?[br]
Write a new equation that has 10 solutions.[br]
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Information: IM Alg1.7.3 Lesson: Solving Quadratic Equations by Reasoning