Solving Quadratic Equations by Factoring Answers

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?

A rectangular field has an area of 1,764 m2. The width of the field is 13 m more than the length. What is the perimeter of the field?

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

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

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

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

A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. ft. By how much were the dimensions increased?

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

Use the zero product property to find the solutions to the equation x2 – 13x + 30 = 0.