16x^2+x^4=36

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Solution for 16x^2+x^4=36 equation:


Simplifying
16x2 + x4 = 36

Solving
16x2 + x4 = 36

Solving for variable 'x'.

Reorder the terms:
-36 + 16x2 + x4 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + 16x2 + x4 = 0

Factor a trinomial.
(-18 + -1x2)(2 + -1x2) = 0

Subproblem 1

Set the factor '(-18 + -1x2)' equal to zero and attempt to solve: Simplifying -18 + -1x2 = 0 Solving -18 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1x2 = 0 + 18 -1x2 = 0 + 18 Combine like terms: 0 + 18 = 18 -1x2 = 18 Divide each side by '-1'. x2 = -18 Simplifying x2 = -18 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 + -1x2)' equal to zero and attempt to solve: Simplifying 2 + -1x2 = 0 Solving 2 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x2 = 0 + -2 -1x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x2 = -2 Divide each side by '-1'. x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}

Solution

x = {-1.414213562, 1.414213562}

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