Modeling with Quadratic Equations — Unit test Answers

Mariya is solving the quadratic equation by completing the square.4x2-20x+3=04x2-20x=-3A(x2-5x)=-3

Using the Completing the Square method, what are the zeros of the quadratic function f(x) = 2x2 + 8x – 3?

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation (x + 2)2 = 121, x represents the side measure of the cropped photo.

Between which two ordered pairs does the graph of f(x) = x2 + x – 9 cross the negative x-axis?Quadratic formula: x =

Sergey is solving 5x2 + 20x – 7 = 0. Which steps could he use to solve the quadratic equation by completing the square? Select three options.5(x2 + 4x + 4) = –7 + 20x + 2 = 5(x2 + 4x) = 75(x2 + 4x + 4) = 7 + 205(x2 + 4x) = –7

What is a solution to (x + 6)(x + 2) = 60?

Fiona is completing the square to solve the polynomial equation.x2 – 4x + 1 = 0

What are the solutions to the quadratic equation 4(x + 2)2 = 36

What are the solutions to m2 – 9 = 0?

Solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation?

What values of b satisfy 4(3b + 2)2 = 64?

The first few steps in solving the quadratic equation 5x2 + 27x = 14 − 13x by completing the square are shown.5x2 + 27x = 14 − 13x5x2 + 40x = 145(x2 + 8x) = 14

Solve x2 − 24x = −80 by completing the square.What is the solution set of the equation?

An architect designs a diagonal path across a rectangular patio. The path is 29 meters long. The width of the patio is x meters, and the length of the path is 5 meters more than the width.