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Published byKellie Berry Modified over 6 years ago

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5.6.2 – Solving Quadratics with Square Roots

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Yesterday, we looked at the properties of square roots 1) Multiplication Property 2) Division Property 3) Simplifying square roots (pull out perfect roots)

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Using Square Roots In some cases, we may use square roots to solve quadratics Must be a special case for us to use said method When can we use square roots? ax 2 – c = 0 (only for today)

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Solving the Square Root Problem To solve the square root problem, all we will need to do is isolate the x 2 term, then take the square root of both sides Example. x 2 = 9 How would you “undo” the squared portion?

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Example. Solve x 2 = 200 Example. Solve 2x 2 = 50

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Example. Solve the quadratic x 2 – 18 = 0 How would you isolate the x 2 portion?

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Example. Solve the quadratic 3x 2 – 60 = 0

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Example. Solve the quadratic 2(x – 4) 2 = 10

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Complete the following 4 problems together. You have 8 minutes. 1) x 2 = 49 2) 3x 2 – 1 = 14 3) 3x 2 + 2 = 14 4) 2(x – 5) 2 = 12

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Assignment Pg. 259 50-66 even

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