BackThe rule for rewriting an absolute value equation without absolute value bars can be extended to equations with two sets of absolute value bars: If u and v represent algebraic expressions, then |u| = |v| is equivalent to u = v or u = - v. Use this to solve the equations in Exercises 77–84.
Solve each equation in Exercises 47–64 by completing the square.
Solve each equation in Exercises 47–64 by completing the square.
Solve each polynomial equation in Exercises 1–10 by factoring and then using the zero-product principle.
Solve each equation by the method of your choice. 1/(x2 - 3x + 2) = 1/(x + 2) + 5/(x2 - 4)
Write a quadratic equation in general form whose solution set is {- 3, 5}.
Find all values of x satisfying the given conditions. y1 = 2x2 + 5x - 4, y2 = - x2 + 15x - 10, and y1 - y2 = 0
Solve each equation in Exercises 15–34 by the square root property. (x + 2)2 = 25
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.
In Exercises 101–106, solve each equation.
Solve each equation in Exercises 1 - 14 by factoring. 7 - 7x = (3x + 2)(x - 1)
Determine the number and type of solutions of the given quadratic equation. Do not solve.
In Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation.
Solve each equation. 4x⁴+3x²-1 = 0
Exercises 100–102 will help you prepare for the material covered in the next section. Factor: