1. Equations & Inequalities

Solve each equation using the square root property. See Example 2. (4x + 1)^2 = 20

Solve each equation using the square root property. See Example 2. (-2x + 5)^2 = -8

In Exercises 35–46, 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 - 10x

Solve each equation. 2x²+x-15 = 0

Solve each equation. x²- √5x -1 = 0

Solve each equation using completing the square. See Examples 3 and 4. -2x^2 + 4x + 3 = 0

Solve each equation in Exercises 47–64 by completing the square.x^2 + 4x = 12

Evaluate the discriminant for each equation. Then use it to determine the number and type of solutions. -8x² + 10x = 7

Solve each equation using the quadratic formula. See Examples 5 and 6. x^2 - 3x - 2 = 0

Solve each equation using the quadratic formula. See Examples 5 and 6. 1/2x^2 + 1/4x - 3 = 0

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

Solve each equation using the quadratic formula. See Examples 5 and 6. (3x + 2)(x - 1) = 3x

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. F = kMv^2/r , for v

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