1. Equations & Inequalities

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

Solve each equation in Exercises 65–74 using the quadratic formula.x^2 - 6x + 10 = 0

Exercises 73–75 will help you prepare for the material covered in the next section.Multiply: (7 - 3x)(- 2 - 5x)

In Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation.x^2 - 4x - 5 = 0

In Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation.2x^2 - 11x + 3 = 0

For each equation, (b) solve for y in terms of x. See Example 8. 2x^2 + 4xy - 3y^2 = 2