1. Equations & Inequalities

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 in Exercises 47–64 by completing the square.x^2 - 2x = 2

Evaluate the discriminant for each equation. Then use it to determine the number and type of solutions. 8x² = -2x -6

Solve each equation in Exercises 47–64 by completing the square.x^2 - 6x - 11 = 0

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

Solve each equation using the quadratic formula. See Examples 5 and 6. -4x^2 = -12x + 11

Solve each equation in Exercises 47–64 by completing the square.2x^2 - 7x + 3 = 0

Solve each equation in Exercises 47–64 by completing the square.4x^2 - 4x - 1 = 0

Solve each equation in Exercises 60–63 by the square root property. x^2/2 + 5 = -3

Solve each equation in Exercises 47–64 by completing the square.3x^2 - 5x - 10 = 0

In Exercises 64–65, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x^2+ 20x

Solve each equation in Exercises 66–67 by completing the square. 3x^2 -12x+11= 0

Solve each equation for the specified variable. (Assume no denominators are 0.) See Example 8. s = (1/2)gt^2, for t

Solve each equation in Exercises 65–74 using the quadratic formula.4x^2 = 2x + 7