 ## Presentation on theme: "Solving Quadratic Equations"— Presentation transcript:

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

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.

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.

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

5. Solve this quadratic equation by factoring.
Zero factor

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

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.

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

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

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.