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Simplifying s4t2 + -4t2 = 0 Solving s4t2 + -4t2 = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '4t2' to each side of the equation. s4t2 + -4t2 + 4t2 = 0 + 4t2 Combine like terms: -4t2 + 4t2 = 0 s4t2 + 0 = 0 + 4t2 s4t2 = 0 + 4t2 Remove the zero: s4t2 = 4t2 Divide each side by 't2'. s4 = 4 Simplifying s4 = 4 Reorder the terms: -4 + s4 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + s4 = 0 Factor a difference between two squares. (2 + s2)(-2 + s2) = 0Subproblem 1
Set the factor '(2 + s2)' equal to zero and attempt to solve: Simplifying 2 + s2 = 0 Solving 2 + s2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + s2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s2 = 0 + -2 s2 = 0 + -2 Combine like terms: 0 + -2 = -2 s2 = -2 Simplifying s2 = -2 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 '(-2 + s2)' equal to zero and attempt to solve: Simplifying -2 + s2 = 0 Solving -2 + s2 = 0 Move all terms containing s to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + s2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + s2 = 0 + 2 s2 = 0 + 2 Combine like terms: 0 + 2 = 2 s2 = 2 Simplifying s2 = 2 Take the square root of each side: s = {-1.414213562, 1.414213562}Solution
s = {-1.414213562, 1.414213562}
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