X^4-170x^2+169=0

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Solution for X^4-170x^2+169=0 equation:


Simplifying
X4 + -170x2 + 169 = 0

Reorder the terms:
169 + X4 + -170x2 = 0

Solving
169 + X4 + -170x2 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-169' to each side of the equation.
169 + X4 + -169 + -170x2 = 0 + -169

Reorder the terms:
169 + -169 + X4 + -170x2 = 0 + -169

Combine like terms: 169 + -169 = 0
0 + X4 + -170x2 = 0 + -169
X4 + -170x2 = 0 + -169

Combine like terms: 0 + -169 = -169
X4 + -170x2 = -169

Add '170x2' to each side of the equation.
X4 + -170x2 + 170x2 = -169 + 170x2

Combine like terms: -170x2 + 170x2 = 0
X4 + 0 = -169 + 170x2
X4 = -169 + 170x2

Simplifying
X4 = -169 + 170x2

Reorder the terms:
169 + X4 + -170x2 = -169 + 170x2 + 169 + -170x2

Reorder the terms:
169 + X4 + -170x2 = -169 + 169 + 170x2 + -170x2

Combine like terms: -169 + 169 = 0
169 + X4 + -170x2 = 0 + 170x2 + -170x2
169 + X4 + -170x2 = 170x2 + -170x2

Combine like terms: 170x2 + -170x2 = 0
169 + X4 + -170x2 = 0

Factor a trinomial.
(X2 + -1x)(X2 + 170x) = 0

Subproblem 1

Set the factor '(X2 + -1x)' equal to zero and attempt to solve: Simplifying X2 + -1x = 0 Solving X2 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add 'x' to each side of the equation. X2 + -1x + x = 0 + x Combine like terms: -1x + x = 0 X2 + 0 = 0 + x X2 = 0 + x Remove the zero: X2 = x Simplifying X2 = x 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 '(X2 + 170x)' equal to zero and attempt to solve: Simplifying X2 + 170x = 0 Solving X2 + 170x = 0 Move all terms containing X to the left, all other terms to the right. Add '-170x' to each side of the equation. X2 + 170x + -170x = 0 + -170x Combine like terms: 170x + -170x = 0 X2 + 0 = 0 + -170x X2 = 0 + -170x Remove the zero: X2 = -170x Simplifying X2 = -170x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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