Solving Quadratic Equations: Factoring Answers

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?

–20–12✔ 1220

–20 or 3✔ –12 or –5 –3 or 205 or 12

Complete the equivalent equation for –7x – 60 = x2 + 10x. (x + )(x + ) = 0 What are the solutions of –7x – 60 = x2 + 10x? x =

Which statement is true about the equation (x – 4)(x + 2) = 16?

What are the solutions of the equation 4x2 + 3x = 24 – x?

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Two positive, consecutive, odd integers have a product of 143. Complete the equation to represent finding x, the greater integer. x(x – ) = 143 What is the greater integer?

Two negative integers are 5 units apart on the number line, and their product is 126. What is the sum of the two integers?

A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.The area of the rectangle is 88 square inches.The equation x(x – 3) = 44 can be used to solve for the dimensions of the triangle.The equation x2 – 3x – 88 = 0 can be used to solve for the length of the rectangle.The triangle has a base of 11 inches and a height of 8 inches.The rectangle has a width of 4 inches.