u^4-5u^2=-64

Solution for u^4-5u^2=-64 equation:

Simplifying
u4 + -5u2 = -64

Reorder the terms:
-5u2 + u4 = -64

Solving
-5u2 + u4 = -64

Solving for variable 'u'.

Reorder the terms:
64 + -5u2 + u4 = -64 + 64

Combine like terms: -64 + 64 = 0
64 + -5u2 + u4 = 0

Begin completing the square.

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + -5u2 + -64 + u4 = 0 + -64

Reorder the terms:
64 + -64 + -5u2 + u4 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -5u2 + u4 = 0 + -64
-5u2 + u4 = 0 + -64

Combine like terms: 0 + -64 = -64
-5u2 + u4 = -64

The u term is -5u2.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5u2 + 6.25 + u4 = -64 + 6.25

Reorder the terms:
6.25 + -5u2 + u4 = -64 + 6.25

Combine like terms: -64 + 6.25 = -57.75
6.25 + -5u2 + u4 = -57.75

Factor a perfect square on the left side:
(u2 + -2.5)(u2 + -2.5) = -57.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.