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Simplifying k4 = 9 Solving k4 = 9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Simplifying k4 = 9 Reorder the terms: -9 + k4 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + k4 = 0 Factor a difference between two squares. (3 + k2)(-3 + k2) = 0Subproblem 1
Set the factor '(3 + k2)' equal to zero and attempt to solve: Simplifying 3 + k2 = 0 Solving 3 + k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + k2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + k2 = 0 + -3 k2 = 0 + -3 Combine like terms: 0 + -3 = -3 k2 = -3 Simplifying k2 = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3 + k2)' equal to zero and attempt to solve: Simplifying -3 + k2 = 0 Solving -3 + k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + k2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + k2 = 0 + 3 k2 = 0 + 3 Combine like terms: 0 + 3 = 3 k2 = 3 Simplifying k2 = 3 Take the square root of each side: k = {-1.732050808, 1.732050808}Solution
k = {-1.732050808, 1.732050808}
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