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Simplifying 5y4 + -26y2 + 5 = 0 Reorder the terms: 5 + -26y2 + 5y4 = 0 Solving 5 + -26y2 + 5y4 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -5y2)(5 + -1y2) = 0Subproblem 1
Set the factor '(1 + -5y2)' equal to zero and attempt to solve: Simplifying 1 + -5y2 = 0 Solving 1 + -5y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5y2 = 0 + -1 -5y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -5y2 = -1 Divide each side by '-5'. y2 = 0.2 Simplifying y2 = 0.2 Take the square root of each side: y = {-0.447213596, 0.447213596}Subproblem 2
Set the factor '(5 + -1y2)' equal to zero and attempt to solve: Simplifying 5 + -1y2 = 0 Solving 5 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y2 = 0 + -5 -1y2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1y2 = -5 Divide each side by '-1'. y2 = 5 Simplifying y2 = 5 Take the square root of each side: y = {-2.236067978, 2.236067978}Solution
y = {-0.447213596, 0.447213596, -2.236067978, 2.236067978}
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