Use the following facts. If x represents an integer, then x+1 represents the next consecutive integer. If x represents an even integer, then x+2 represents the next consecutive even integer. If x represents an odd integer, then x+2 represents the next consecutive odd integer. Find two consecutive odd integers whose product is 63.

Solve each equation using the zero-factor property. x² + 2x - 8 = 0

Solve each equation in Exercises 1 - 14 by factoring. 10x - 1 = (2x + 1)²

Use the following facts. If x represents an integer, then x+1 represents the next consecutive integer. If x represents an even integer, then x+2 represents the next consecutive even integer. If x represents an odd integer, then x+2 represents the next consecutive odd integer. The difference of the squares of two positive consecutive odd integers is 32. Find the integers.

Solve each equation in Exercises 15–34 by the square root property. $(x+3{)}^2=-16$

Volume of a Box. A rectangular piece of metal is 10 in. longer than it is wide. Squares with sides 2 in. long are cut from the four corners, and the flaps are folded upward to form an open box. If the volume of the box is 835 in.³, what were the original dimensions of the piece of metal?

Solve each equation using the square root property. 27 - x² = 0

Dimensions of a Square What is the length of the side of a square if its area and perimeter are numerically equal?