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Simplifying k4 + -36 = 0 Reorder the terms: -36 + k4 = 0 Solving -36 + k4 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + k4 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + k4 = 0 + 36 k4 = 0 + 36 Combine like terms: 0 + 36 = 36 k4 = 36 Simplifying k4 = 36 Reorder the terms: -36 + k4 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + k4 = 0 Factor a difference between two squares. (6 + k2)(-6 + k2) = 0Subproblem 1
Set the factor '(6 + k2)' equal to zero and attempt to solve: Simplifying 6 + k2 = 0 Solving 6 + k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + k2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + k2 = 0 + -6 k2 = 0 + -6 Combine like terms: 0 + -6 = -6 k2 = -6 Simplifying k2 = -6 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 '(-6 + k2)' equal to zero and attempt to solve: Simplifying -6 + k2 = 0 Solving -6 + k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + k2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + k2 = 0 + 6 k2 = 0 + 6 Combine like terms: 0 + 6 = 6 k2 = 6 Simplifying k2 = 6 Take the square root of each side: k = {-2.449489743, 2.449489743}Solution
k = {-2.449489743, 2.449489743}
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