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**Solving Quadratic Equations**

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**1. Solve. x2 = 100 Take the square root of both sides.**

Do not forget the ±. The solution set has two answers.

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**2. Solve. x2 = 20 Take the square root of both sides.**

Do not forget the ±. Simplify the square root. The solution set has two answers.

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**3. Solve. y2 = -64 Anticipate imaginary solutions.**

Take the square root of both sides. Do not forget the ±. Simplify the square root. The solution set has two answers.

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4. Solve. (x + 1)2 = 4 Work it twice ±.

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**5. Solve this quadratic equation by factoring.**

Zero factor

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**6. Solve this quadratic equation by completing the square.**

x2 + 10x + 24 = 0 x2 + 10x + _______ = ________ ( x + _____)2 = ______ x + _____ = ± _______ x = ________ x = {______, ______} 25 25 5 1 5 1 -5 ± 1 -6 -4

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**7. Solve. x2 = -81 Anticipate imaginary solutions.**

Take the square root of both sides. Do not forget the ±. Simplify the square root. The solution set has two answers.

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**8. Which of the following equations has a solution set of x = {9, -5}?**

x=9, x=-5 (x – 9)(x + 5) = 0 x2 – 4x – 45 = 0 A. x2 + 4x + 45 B. x2 + 4x – 45 C. x2 – 4x – 45 D. x2 – 4x + 45

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**9. What is the sum of the solutions to the quadratic y2 – 15y +56=0?**

Hence… 7 + 8 = 15 A. 3 B. -3 C. 15 D. -15

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**10. The quadratic equation x2 + 5x + 25/4 = 0 has…**

D = b2 – 4ac D = (5)2 – 4(1)(25/4) D = 25 – 25 D = 0 A. one real rational solutions. B. two real irrational solutions. C. two real rational solution. D. two complex solutions. E. one complex solution.

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