Solving Quadratic Equations: Factoring Answers

What is x2 – 6 = 16x + 30 rewritten in standard form, then factored?

Which are solutions of the equation 4x2 – 7x = 3x + 24? Check all that apply. x = –4x = –3x = [image 1] x = [image 2] x = 2x = 4

A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104 represents the situation, where x represents the width of the rectangle.The first step in solving by factoring is to write the equation in standard form, setting one side equal to zero. What is the equation for the situation, written in standard form?

A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104 represents the situation, where x represents the width of the rectangle.(x + 5)x = 104x2 + 5x – 104 = 0

⇒ 8

⇒ 13

The product of two consecutive, negative integers is 182.

The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where x represents the smaller integer. Which equation can be factored and solved for the smaller integer?