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Solving Quadratic Equations

Solving Quadratic Equations. 1. Solve. x 2 = 100. Take the square root of both sides. Do not forget the ±. The solution set has two answers. 2. Solve. x 2 = 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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Solving Quadratic Equations

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  1. Solving Quadratic Equations

  2. 1. Solve. x2 = 100 Take the square root of both sides. Do not forget the ±. The solution set has two answers.

  3. 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.

  4. 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.

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

  6. 5. Solve this quadratic equation by factoring. Zero factor

  7. 6. Solve this quadratic equation by completing the square. x2 + 10x + 24 = 0 x2 + 10x + _______ = - 24 + ________ ( x + _____)2 = ______ x + _____ = ± _______ x = ________ x = {______, ______} 25 25 5 1 5 1 -5 ± 1 -6 -4

  8. 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.

  9. A. x2 + 4x + 45 B. x2 + 4x – 45 C. x2 – 4x – 45 D. x2 – 4x + 45 x=9, x=-5 (x – 9)(x + 5) = 0 x2 – 4x – 45 = 0 8. Which of the following equations has a solution set of x = {9, -5}?

  10. A. 3 B. -3 C. 15 D. -15 y2 – 15y + 56 = 0 (y – 7)(y – 8) = 0 y = { 7, 8} Hence… 7 + 8 = 15 9. What is the sum of the solutions to the quadratic y2 – 15y +56=0?

  11. A. one real rational solutions. B. two real irrational solutions. C. two real rational solution. D. two complex solutions. E. one complex solution. D = b2 – 4ac D = (5)2 – 4(1)(25/4) D = 25 – 25 D = 0 10. The quadratic equation x2 + 5x + 25/4 = 0 has…

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