1. Equations & Inequalities

Solve each equation using the quadratic formula. See Examples 5 and 6. (4x - 1)(x + 2) = 4x

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

Solve each equation in Exercises 65–74 using the quadratic formula.x^2 + 8x + 15 = 0

Solve each equation in Exercises 65–74 using the quadratic formula.x^2 + 5x + 3 = 0

Solve each cubic equation using factoring and the quadratic formula. See Example 7. x^3 - 27 = 0

Solve each equation in Exercises 65–74 using the quadratic formula.3x^2 - 3x - 4 = 0

Solve each cubic equation using factoring and the quadratic formula. See Example 7. x^3 + 64 = 0

Solve each equation in Exercises 68–70 using the quadratic formula. 2x^2 = 3-4x

In Exercises 71–72, without solving the given quadratic equation, determine the number and type of solutions. 9x^2 = 2-3x

Solve each equation in Exercises 73–81 by the method of your choice. 3x^2-7x+1 =0

Solve each equation for the specified variable. (Assume no denominators are 0.) See Example 8. r = r_0+(1/2)at^2, for t

Solve each equation in Exercises 73–81 by the method of your choice. (x-3)^2 - 25 = 0

Solve each equation for the specified variable. (Assume no denominators are 0.) See Example 8. h = -16t^2+v_0t+s_0, for t

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

In Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation.x^2 - 2x + 1 = 0