77x^4-x^2+121=0

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Solution for 77x^4-x^2+121=0 equation:


Simplifying
77x4 + -1x2 + 121 = 0

Reorder the terms:
121 + -1x2 + 77x4 = 0

Solving
121 + -1x2 + 77x4 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
77 the coefficient of the squared term: 

Divide each side by '77'.
1.571428571 + -0.01298701299x2 + x4 = 0

Move the constant term to the right:

Add '-1.571428571' to each side of the equation.
1.571428571 + -0.01298701299x2 + -1.571428571 + x4 = 0 + -1.571428571

Reorder the terms:
1.571428571 + -1.571428571 + -0.01298701299x2 + x4 = 0 + -1.571428571

Combine like terms: 1.571428571 + -1.571428571 = 0.000000000
0.000000000 + -0.01298701299x2 + x4 = 0 + -1.571428571
-0.01298701299x2 + x4 = 0 + -1.571428571

Combine like terms: 0 + -1.571428571 = -1.571428571
-0.01298701299x2 + x4 = -1.571428571

The x term is -0.01298701299x2.  Take half its coefficient (-0.006493506495).
Square it (0.00004216562660) and add it to both sides.

Add '0.00004216562660' to each side of the equation.
-0.01298701299x2 + 0.00004216562660 + x4 = -1.571428571 + 0.00004216562660

Reorder the terms:
0.00004216562660 + -0.01298701299x2 + x4 = -1.571428571 + 0.00004216562660

Combine like terms: -1.571428571 + 0.00004216562660 = -1.5713864053734
0.00004216562660 + -0.01298701299x2 + x4 = -1.5713864053734

Factor a perfect square on the left side:
(x2 + -0.006493506495)(x2 + -0.006493506495) = -1.5713864053734

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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