Algebra Questions: Quadratic Equations

1. Use the method of completing the square to solve the quadratic equation. x 2 + 4x - 4 =0 a. b. c. d. e. 2. Solve the following quadratic equation using the method that seems most appropriate. (x – 2) (x + 6) = –7 a. x = 5, x = –1 b. x = –6, x = 1 c. x = –5, x = 1 d. x = 5, x = 1 e. x = 5, x = –6 3. Solve the equation for the variable x.16x 2 + 8nx + n 2 = 0 a. b. c. d. e. 4. Write in terms of i and simplify. a. 6 + i b. 6 c. 6i d.-6 e. -6i 5. Write in terms of i, perform the indicated operations, and simplify. a. -10i b. 10 + i c. 10i d. 10 e. -10 6. Find (4i)(2i).Express your answer in the standard form of a complex number. a. 8i 2 b. 8 + 0i c. -8 + 0i d. 4 + 2i e. -8i 7. Solve the following quadratic equation. 28x 2 + 25x – 8 = 0 a. b. c. d. e. 8. Use the quadratic formula to solve the following quadratic equation. Check your solutions by using the sum and product relationships. x 2 + 15x + 50 = 0 a. -10, 5 b.-12, -8 c. -5, 10 d.-10, -5 e. 5, 10 9. Use the quadratic formula to solve the following quadratic equation. Check your solutions by using the sum and product relationships.-y 2 + 19y = 1 a. b. c. d. e. 1. 10.Solve the quadratic equation using the method that seems most appropriate to you. a. b. c. d. e. 11.Solve the quadratic equation using the method that seems most appropriate to you. a. b. c. d. e. 1. 12.Solve the quadratic equation using the method that seems most appropriate to you. a. b. c. d. e. 13.Solve the quadratic equation. Use the following property: For any real number , if and only if or a. x = 13 b. x = 13 or x = –13 c. x = 4 or x = –4 d. x = 13 or x = 5 e. x = 5 or x = –5 14.A diagonal of a square parking lot is 65 meters. Find, to the nearest meter, the length of a side of the lot. a. 33 meters b. 44 meters c. 41 meters d. 43 meters e. 46 meters 15.For this problem use the isosceles right triangle in the figure. Express your answer in simplest radical form. If c = 10 meters, find a. a. b. c. d. e.