Solving Quadratic Equations by Factoring Answers

The hypotenuse of a right triangle is 52 in. One leg of the triangle is 8 in. more than twice the length of the other. What is the perimeter of the triangle?

Use the zero product property to find the solutions to the equation x2 + 12 = 7x.

The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x – 2x2. For what number of tabletops does the company make a profit of $0?

The solutions to the equation are or

What are the solutions to the equation (x – 6)(x + 8) = 0?

Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12.

What are the solutions to the equation 3(x – 4)(x + 5) = 0?

A rectangular patio is 9 ft by 6 ft. When the length and width are increased by the same amount, the area becomes 88 sq ft. Ginger is using the zero product property to solve the equation (6 + x)(9 + x) = 88. What does the value of x in her solutions represent?

The square of a number is 12 less than 7 times the number. What is the number?

The square of 9 less than a number is 3 less than the number. What is the number?