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Published byFrederick Spencer Modified over 4 years ago

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Warm up! Simplify:

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Solving Radical Equations What is a radical equation? An equation that contains a radical expression with a variable in the radicand.

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Inverse Operations How would you solve the following equation? Solve by taking the SQUARE ROOT. Why? = 9 Square roots and Squaring are inverse operations… they “undo” each other! x = 3,-3

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So… consider this: How could you solve for x now? Solve by doing the inverse operation: SQUARING!

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A Refresher on Inverses (opposites): Opposite of Multiply is ____________ Opposite of Add is ____________ Opposite of Divide is ____________ Opposite of Subtract is ____________ Opposite of squaring is ____________ Opposite of square rooting is ____________

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Steps to Solving Radical Eq’s: Isolate the radicand – get the radicand on one side and all other terms on the other. Square both sides of the equation Solve for x CHECK YOUR ANSWER!!!!

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Solve the following radical equations:

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Solve. Check your answer!

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Solve. Check your answer! ✔

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Solve the following radical equations:

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3.)

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Solve the following radical equations: This one is different, but square both sides anyway…

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Check all solutions Any solution that does not check is called extraeous

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Check all solutions Any solution that does not check is called extraeous X = 81 Check: No sol.

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When a quadratic equation occurs: Here’s where it gets harder! Page 113 # 22 Square both sides-remember to foil the left side!

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Solution to: Check both answers: (Set = to zero) CHECK:

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