u^2-u+16=0

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Solution for u^2-u+16=0 equation: 


Simplifying
u2 + -1u + 16 = 0

Reorder the terms:
16 + -1u + u2 = 0

Solving
16 + -1u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -1u + -16 + u2 = 0 + -16

Reorder the terms:
16 + -16 + -1u + u2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1u + u2 = 0 + -16
-1u + u2 = 0 + -16

Combine like terms: 0 + -16 = -16
-1u + u2 = -16

The u term is -1u.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1u + 0.25 + u2 = -16 + 0.25

Reorder the terms:
0.25 + -1u + u2 = -16 + 0.25

Combine like terms: -16 + 0.25 = -15.75
0.25 + -1u + u2 = -15.75

Factor a perfect square on the left side:
(u + -0.5)(u + -0.5) = -15.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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