Solving Equations by Extracting Roots

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Presentation transcript:

Solving Equations by Extracting Roots AII.4b

Solving Equations with Exponents Solve 4 𝑥 2 −36=0 4 𝑥 2 =36 𝑥 2 =9 Isolate the variable What is the inverse operation to ‘squaring’? 𝑥 2 = 9 𝑥=±3 Simplify both sides Why is it ±? Remember, we are looking for the value of x, that gives us 9 when it is squared. What is 3 2 ? What is (−3) 2 ? Anytime you are looking for a value that is squared, you will have a ± in your answer since squaring both a positive and negative rational number gives you a positive product.

Solving Equations with Exponents Solve Isolate the variable What is the inverse operation to ‘squaring’? Simplify both sides

Solving Equations with Exponents Solve Isolate the variable What is the inverse operation to ‘squaring’? Simplify both sides

Solving Equations with Exponents Solve Isolate the variable What is the inverse operation to ‘cubing’? Simplify both sides