Completing The Square / Instruction

Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the formx2 + bx = c. x2 + x = Add ⇒ 16 to each side x2 - 8x = 9 to complete the square. Now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation. (x - 4)² = 25X (x + 16)² = 25(x - 4)² = 9 X (x + 16)² = 9 Choose the solutions to the quadratic equationx2 - 8x - 9 = 0. -21 -1 9 29

-8 , 9 / 16 / (x-4)^2=25 / -1, 9

Solve 2x2 + x − 4 = 0. x2 + x + = 0 x2 + 12x + = 2 + (x + )2 = Choose the solution to the equation.

1/2, -2, 1/16, 1/16, 1/4, 33/16, A

Given 2x² = -8, x is -222i or -2i4i or -4i. Solve (x - 3)2 = 49. Select the values of x. -46 -4 10 52

2i or -2i / -4, 10

Factor the perfect-square trinomial on the left side of the equation.(x + )² = Apply the square root property of equality. x + 1/41/22/3 = Which values are solutions of the equation? Check all of the boxes that apply.

1/4, 1/4, 2/3, B and D

Enter the correct value so that each expression is a perfect-square trinomial. x2 - 10x + x2 + x + 36 x2 + x +

25 / 12 / 1/16

The quadratic function y = -x2 + 10x - 8 models the height of a trestle on a bridge. The x-axis represents ground level. To find where the section of the bridge meets ground level, solve 0 = -x2 + 10x - 8. Where does this section of the bridge meet ground level? Choose an equation that would be used to solve 0 = -x2 + 10x - 8 (x + 25)2 = -8 (x - 5)2 = 17 (x - 10)2 = 25 Solve the equation to find where the trestle meets ground level. Enter your answers from least to greatest and round to the nearest tenth. The trestle meets the ground at units and units.

B / 0.9, 9.1

Study the products shown. Is there a pattern? (x + 3)2 = x2 + 6x + 9 (x + 4)2 = x2 + 8x + 16 (x + 5)2 = x2 + 10x + 25 (x + 6)2 = x2 + 12x + 36 Each product is in the form ax2 + bx + c. Which of the following describes the relationship between b and c? c is 1.5 times that of b. c is double b. c is the square of half of b. c is the square of b.

C