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Introduction to Quadratic Equations & Solving by Finding Square Roots Chapter 5.3

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Quadratic Equations Have one variable The variable is raised to the power of 2 (a.k.a. The variable is squared) Examples x 2 = 25 t 2 + 5t + 6 = 0 y 2 – 3 = 2y (x + 2)(x + 3) = 12

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Solving Quadratic Equations by Finding Square Roots You can take the square roots of each side to solve some quadratic equations. For example, x 2 = 25 x = ± This is usually written x = ± 5 25

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1.Isolate the expression being squared. 2.Take the square root of both sides of the equation. 3.Remember there is often 2 solutions, a positive and a negative. **Leave irrational solutions in “square root form” For example if your solution is x = ± Solving Quadratic Equations by Finding Square Roots 22

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