7x^4+62x^2-9=0

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Solution for 7x^4+62x^2-9=0 equation:


Simplifying
7x4 + 62x2 + -9 = 0

Reorder the terms:
-9 + 62x2 + 7x4 = 0

Solving
-9 + 62x2 + 7x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -1x2)(1 + -7x2) = 0

Subproblem 1

Set the factor '(-9 + -1x2)' equal to zero and attempt to solve: Simplifying -9 + -1x2 = 0 Solving -9 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x2 = 0 + 9 -1x2 = 0 + 9 Combine like terms: 0 + 9 = 9 -1x2 = 9 Divide each side by '-1'. x2 = -9 Simplifying x2 = -9 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 '(1 + -7x2)' equal to zero and attempt to solve: Simplifying 1 + -7x2 = 0 Solving 1 + -7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x2 = 0 + -1 -7x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -7x2 = -1 Divide each side by '-7'. x2 = 0.1428571429 Simplifying x2 = 0.1428571429 Take the square root of each side: x = {-0.377964473, 0.377964473}

Solution

x = {-0.377964473, 0.377964473}

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