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Simplifying k2 + -17k + 52 = 0 Reorder the terms: 52 + -17k + k2 = 0 Solving 52 + -17k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (4 + -1k)(13 + -1k) = 0Subproblem 1
Set the factor '(4 + -1k)' equal to zero and attempt to solve: Simplifying 4 + -1k = 0 Solving 4 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = 0 + -4 -1k = 0 + -4 Combine like terms: 0 + -4 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4Subproblem 2
Set the factor '(13 + -1k)' equal to zero and attempt to solve: Simplifying 13 + -1k = 0 Solving 13 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1k = 0 + -13 -1k = 0 + -13 Combine like terms: 0 + -13 = -13 -1k = -13 Divide each side by '-1'. k = 13 Simplifying k = 13Solution
k = {4, 13}
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