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Simplifying 121c4 + -44c2 + 4 = 0 Reorder the terms: 4 + -44c2 + 121c4 = 0 Solving 4 + -44c2 + 121c4 = 0 Solving for variable 'c'. Factor a trinomial. (2 + -11c2)(2 + -11c2) = 0Subproblem 1
Set the factor '(2 + -11c2)' equal to zero and attempt to solve: Simplifying 2 + -11c2 = 0 Solving 2 + -11c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -11c2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -11c2 = 0 + -2 -11c2 = 0 + -2 Combine like terms: 0 + -2 = -2 -11c2 = -2 Divide each side by '-11'. c2 = 0.1818181818 Simplifying c2 = 0.1818181818 Take the square root of each side: c = {-0.426401433, 0.426401433}Subproblem 2
Set the factor '(2 + -11c2)' equal to zero and attempt to solve: Simplifying 2 + -11c2 = 0 Solving 2 + -11c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -11c2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -11c2 = 0 + -2 -11c2 = 0 + -2 Combine like terms: 0 + -2 = -2 -11c2 = -2 Divide each side by '-11'. c2 = 0.1818181818 Simplifying c2 = 0.1818181818 Take the square root of each side: c = {-0.426401433, 0.426401433}Solution
c = {-0.426401433, 0.426401433, -0.426401433, 0.426401433}
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