(X^4)-(17x^2)+16=0

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Solution for (X^4)-(17x^2)+16=0 equation:


Simplifying
(X4) + -1(17x2) + 16 = 0
X4 + -1(17x2) + 16 = 0

Remove parenthesis around (17x2)
X4 + -1 * 17x2 + 16 = 0

Multiply -1 * 17
X4 + -17x2 + 16 = 0

Reorder the terms:
16 + X4 + -17x2 = 0

Solving
16 + X4 + -17x2 = 0

Solving for variable 'X'.

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

Add '-16' to each side of the equation.
16 + X4 + -16 + -17x2 = 0 + -16

Reorder the terms:
16 + -16 + X4 + -17x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + X4 + -17x2 = 0 + -16
X4 + -17x2 = 0 + -16

Combine like terms: 0 + -16 = -16
X4 + -17x2 = -16

Add '17x2' to each side of the equation.
X4 + -17x2 + 17x2 = -16 + 17x2

Combine like terms: -17x2 + 17x2 = 0
X4 + 0 = -16 + 17x2
X4 = -16 + 17x2

Simplifying
X4 = -16 + 17x2

Reorder the terms:
16 + X4 + -17x2 = -16 + 17x2 + 16 + -17x2

Reorder the terms:
16 + X4 + -17x2 = -16 + 16 + 17x2 + -17x2

Combine like terms: -16 + 16 = 0
16 + X4 + -17x2 = 0 + 17x2 + -17x2
16 + X4 + -17x2 = 17x2 + -17x2

Combine like terms: 17x2 + -17x2 = 0
16 + X4 + -17x2 = 0

Factor a trinomial.
(X2 + -1x)(X2 + 17x) = 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 + 17x)' equal to zero and attempt to solve: Simplifying X2 + 17x = 0 Solving X2 + 17x = 0 Move all terms containing X to the left, all other terms to the right. Add '-17x' to each side of the equation. X2 + 17x + -17x = 0 + -17x Combine like terms: 17x + -17x = 0 X2 + 0 = 0 + -17x X2 = 0 + -17x Remove the zero: X2 = -17x Simplifying X2 = -17x 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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