1. Equations & Inequalities

Solve each equation. -2x² +11x = -21

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

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 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.

Solve each equation in Exercises 15–34 by the square root property.(x + 2)^2 = 25

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

Solve each equation in Exercises 15–34 by the square root property.(2x + 8)^2 = 27

Solve each equation using completing the square. See Examples 3 and 4. 2x^2 + x = 10

Solve each equation in Exercises 47–64 by completing the square.x^2 + 6x = 7

See Exercise 47.(b)Which equation has two nonreal complex solutions?

Solve each equation using the quadratic formula. See Examples 5 and 6. x^2 = 2x - 5