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Simplifying 9k2 + -13k + 4 = 0 Reorder the terms: 4 + -13k + 9k2 = 0 Solving 4 + -13k + 9k2 = 0 Solving for variable 'k'. Factor a trinomial. (4 + -9k)(1 + -1k) = 0Subproblem 1
Set the factor '(4 + -9k)' equal to zero and attempt to solve: Simplifying 4 + -9k = 0 Solving 4 + -9k = 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 + -9k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9k = 0 + -4 -9k = 0 + -4 Combine like terms: 0 + -4 = -4 -9k = -4 Divide each side by '-9'. k = 0.4444444444 Simplifying k = 0.4444444444Subproblem 2
Set the factor '(1 + -1k)' equal to zero and attempt to solve: Simplifying 1 + -1k = 0 Solving 1 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 0 + -1 -1k = 0 + -1 Combine like terms: 0 + -1 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1Solution
k = {0.4444444444, 1}
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