u^2-4u+10=0

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Solution for u^2-4u+10=0 equation:


Simplifying
u2 + -4u + 10 = 0

Reorder the terms:
10 + -4u + u2 = 0

Solving
10 + -4u + 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 + -4u + -10 + u2 = 0 + -10

Reorder the terms:
10 + -10 + -4u + u2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -4u + u2 = 0 + -10
-4u + u2 = 0 + -10

Combine like terms: 0 + -10 = -10
-4u + u2 = -10

The u term is -4u.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4u + 4 + u2 = -10 + 4

Reorder the terms:
4 + -4u + u2 = -10 + 4

Combine like terms: -10 + 4 = -6
4 + -4u + u2 = -6

Factor a perfect square on the left side:
(u + -2)(u + -2) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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