Solve each equation by the method of your choice. $(x-3{)}^2-25=0$

The 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. |4x - 3| = |4x - 5|

In Exercises 59–94, solve each absolute value inequality. |3 - (2/3)x| > 5

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

The 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. |3x - 1| = |x + 5|

In Exercises 59–94, solve each absolute value inequality. 3|x - 1| + 2 ≥ 8

List the quadrant or quadrants satisfying each condition. x³ > 0 and y³ <0