Question

What are the solution for the quadratic equation y=x^2+11x+24

Answer 1

Simplifying x2 = 11x + -24 Reorder the terms: x2 = -24 + 11x Solving x2 = -24 + 11x Solving for variable 'x'. Reorder the terms: 24 + -11x + x2 = -24 + 11x + 24 + -11x Reorder the terms: 24 + -11x + x2 = -24 + 24 + 11x + -11x Combine like terms: -24 + 24 = 0 24 + -11x + x2 = 0 + 11x + -11x 24 + -11x + x2 = 11x + -11x Combine like terms: 11x + -11x = 0 24 + -11x + x2 = 0 Factor a trinomial. (3 + -1x)(8 + -1x) = 0 Subproblem 1Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3 Subproblem 2Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solutionx = {3, 8}