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Simplifying (x2)(x2) = 49 Multiply x2 * x2 x4 = 49 Solving x4 = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 49 Reorder the terms: -49 + x4 = 49 + -49 Combine like terms: 49 + -49 = 0 -49 + x4 = 0 Factor a difference between two squares. (7 + x2)(-7 + x2) = 0Subproblem 1
Set the factor '(7 + x2)' equal to zero and attempt to solve: Simplifying 7 + x2 = 0 Solving 7 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x2 = 0 + -7 x2 = 0 + -7 Combine like terms: 0 + -7 = -7 x2 = -7 Simplifying x2 = -7 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 + x2)' equal to zero and attempt to solve: Simplifying -7 + x2 = 0 Solving -7 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x2 = 0 + 7 x2 = 0 + 7 Combine like terms: 0 + 7 = 7 x2 = 7 Simplifying x2 = 7 Take the square root of each side: x = {-2.645751311, 2.645751311}Solution
x = {-2.645751311, 2.645751311}
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