x^4+sqrt(52)x^2-52=0

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Solution for x^4+sqrt(52)x^2-52=0 equation:


Simplifying
x4 + sqrt(52) * x2 + -52 = 0

Reorder the terms for easier multiplication:
x4 + 52qrst * x2 + -52 = 0

Multiply qrst * x2
x4 + 52qrstx2 + -52 = 0

Reorder the terms:
-52 + 52qrstx2 + x4 = 0

Solving
-52 + 52qrstx2 + x4 = 0

Solving for variable 'q'.

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

Add '52' to each side of the equation.
-52 + 52qrstx2 + 52 + x4 = 0 + 52

Reorder the terms:
-52 + 52 + 52qrstx2 + x4 = 0 + 52

Combine like terms: -52 + 52 = 0
0 + 52qrstx2 + x4 = 0 + 52
52qrstx2 + x4 = 0 + 52

Combine like terms: 0 + 52 = 52
52qrstx2 + x4 = 52

Add '-1x4' to each side of the equation.
52qrstx2 + x4 + -1x4 = 52 + -1x4

Combine like terms: x4 + -1x4 = 0
52qrstx2 + 0 = 52 + -1x4
52qrstx2 = 52 + -1x4

Divide each side by '52rstx2'.
q = r-1s-1t-1x-2 + -0.01923076923r-1s-1t-1x2

Simplifying
q = r-1s-1t-1x-2 + -0.01923076923r-1s-1t-1x2

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