x^4+14x^2+121=0

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Solution for x^4+14x^2+121=0 equation:


Simplifying
x4 + 14x2 + 121 = 0

Reorder the terms:
121 + 14x2 + x4 = 0

Solving
121 + 14x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-121' to each side of the equation.
121 + 14x2 + -121 + x4 = 0 + -121

Reorder the terms:
121 + -121 + 14x2 + x4 = 0 + -121

Combine like terms: 121 + -121 = 0
0 + 14x2 + x4 = 0 + -121
14x2 + x4 = 0 + -121

Combine like terms: 0 + -121 = -121
14x2 + x4 = -121

The x term is 14x2.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14x2 + 49 + x4 = -121 + 49

Reorder the terms:
49 + 14x2 + x4 = -121 + 49

Combine like terms: -121 + 49 = -72
49 + 14x2 + x4 = -72

Factor a perfect square on the left side:
(x2 + 7)(x2 + 7) = -72

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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