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Simplifying z4 + 4z2 + -77 = 0 Reorder the terms: -77 + 4z2 + z4 = 0 Solving -77 + 4z2 + z4 = 0 Solving for variable 'z'. Factor a trinomial. (-11 + -1z2)(7 + -1z2) = 0Subproblem 1
Set the factor '(-11 + -1z2)' equal to zero and attempt to solve: Simplifying -11 + -1z2 = 0 Solving -11 + -1z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1z2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1z2 = 0 + 11 -1z2 = 0 + 11 Combine like terms: 0 + 11 = 11 -1z2 = 11 Divide each side by '-1'. z2 = -11 Simplifying z2 = -11 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 '(7 + -1z2)' equal to zero and attempt to solve: Simplifying 7 + -1z2 = 0 Solving 7 + -1z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1z2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1z2 = 0 + -7 -1z2 = 0 + -7 Combine like terms: 0 + -7 = -7 -1z2 = -7 Divide each side by '-1'. z2 = 7 Simplifying z2 = 7 Take the square root of each side: z = {-2.645751311, 2.645751311}Solution
z = {-2.645751311, 2.645751311}
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