u^2-5u+10=0

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Solution for u^2-5u+10=0 equation:


Simplifying
u2 + -5u + 10 = 0

Reorder the terms:
10 + -5u + u2 = 0

Solving
10 + -5u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -5u + -10 + u2 = 0 + -10

Reorder the terms:
10 + -10 + -5u + u2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -5u + u2 = 0 + -10
-5u + u2 = 0 + -10

Combine like terms: 0 + -10 = -10
-5u + u2 = -10

The u term is -5u.  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.
-5u + 6.25 + u2 = -10 + 6.25

Reorder the terms:
6.25 + -5u + u2 = -10 + 6.25

Combine like terms: -10 + 6.25 = -3.75
6.25 + -5u + u2 = -3.75

Factor a perfect square on the left side:
(u + -2.5)(u + -2.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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