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Simplifying 4r4 + -9 = 91 Reorder the terms: -9 + 4r4 = 91 Solving -9 + 4r4 = 91 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4r4 = 91 + 9 Combine like terms: -9 + 9 = 0 0 + 4r4 = 91 + 9 4r4 = 91 + 9 Combine like terms: 91 + 9 = 100 4r4 = 100 Divide each side by '4'. r4 = 25 Simplifying r4 = 25 Reorder the terms: -25 + r4 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + r4 = 0 Factor a difference between two squares. (5 + r2)(-5 + r2) = 0Subproblem 1
Set the factor '(5 + r2)' equal to zero and attempt to solve: Simplifying 5 + r2 = 0 Solving 5 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + r2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + r2 = 0 + -5 r2 = 0 + -5 Combine like terms: 0 + -5 = -5 r2 = -5 Simplifying r2 = -5 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 '(-5 + r2)' equal to zero and attempt to solve: Simplifying -5 + r2 = 0 Solving -5 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + r2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + r2 = 0 + 5 r2 = 0 + 5 Combine like terms: 0 + 5 = 5 r2 = 5 Simplifying r2 = 5 Take the square root of each side: r = {-2.236067978, 2.236067978}Solution
r = {-2.236067978, 2.236067978}
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