1. Equations & Inequalities

In Exercises 115–122, find all values of x satisfying the given conditions.y1 = x - 1, y2 = x + 4 and y1y2 = 14

Solve each equation. -2x² +11x = -21

Match the equation in Column I with its solution(s) in Column II. x^2 = 25

Match the equation in Column I with its solution(s) in Column II. x^2 = -25

Use Choices A–D to answer each question. A. 3x^2 - 17x - 6 = 0 B. (2x + 5)^2 = 7 C. x^2 + x = 12 D. (3x - 1)(x - 7) = 0 Which equation is set up for direct use of the zero-factor property? Solve it

Answer each question. Answer each question. Unknown NumbersUse 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 integers whose product is 110.

Solve each equation in Exercises 1 - 14 by factoring.2x(x - 3) = 5x^2 - 7x

Solve each equation using the zero-factor property. See Example 1. x^2 - 5x + 6 = 0

Solve each equation in Exercises 1 - 14 by factoring.7 - 7x = (3x + 2)(x - 1)

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

Answer each question. Answer each question. Answer each question. Unknown NumbersUse 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 sum of the squares of two consecutive even integers is 52. Find the integers.