Completing The Square Answers

Which of the following describes the relationship between b and c?

⇒ 2/3

Solve 2x2 + x − 4 = 0. x2 + x + = 0 x2 + 12x + = 2 + (x + )2 =

Now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation. ✔ (x – 4)² = 25(x + 16)² = 25(x – 4)² = 9 X (x + 16)² = 9

Solve 2x2 + x − 4 = 0. x2 + x + = 0 x2 + 12x + = 2 + (x + )2 =

Choose the solution to the equation.

Given 2x² = -8, x is -22✔ 2i or -2i4i or -4i.

Solve (x – 3)2 = 49. Select the values of x.

x + ✔ 1/4X 1/2X 2/3 =

Which values are solutions of the equation? Check all of the boxes that apply.

Factor the perfect-square trinomial on the left side of the equation.(x + ⇒ 1/4 )² =

Choose the solutions to the quadratic equationx2 – 8x – 9 = 0.

Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

Add ⇒ 16 to each side x2 – 8x = 9 to complete the square.

Choose an equation that would be used to solve 0 = -x2 + 10x – 8

Solve 2x2 + x − 4 = 0. x2 + x + = 0 x2 + 12x + = 2 + (x + )2 =

Which of the following expressions are perfect-square trinomials? Check all of the boxes that apply.

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?

x2 – 10x +

x2 + x + 36