IM Alg2.3.9 Lesson: Solving Radical Equations

Solve these equations mentally:
[math]\sqrt[3]{x}=1[/math]
[math]\sqrt{7}=\sqrt{x-1}[/math]
[math]\sqrt{100}=2x[/math]
[math]\sqrt{x+1}=\text{-}5[/math]
Find the solution(s) to each of these equations, or explain why there is no solution.
[math]\sqrt{a-5}=5[/math]
[math]\sqrt[3]{a-5}=5[/math]
[math]\sqrt[3]{b}=\text{-}2[/math]
[math]\sqrt{c}+2=0[/math]
[math]\sqrt[3]{3-d}+4=0[/math]
[math]\sqrt{7}=\sqrt{x-1}[/math]
[math]\sqrt{36}=3y[/math]
[math]22z=\sqrt[3]{11}[/math]
Write an equation that includes a radical symbol with one solution.[br]
Write an equation that includes a radical symbol with no solutions.
Write an equation that includes a radical symbol with two solutions.[br]
Switch with a partner and solve their equations.
Find all solutions to the equation [math]\sqrt{x}=\sqrt[3]{x}[/math]. Explain how you know those are all of the solutions.
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Informazioni: IM Alg2.3.9 Lesson: Solving Radical Equations