u^2-7u+22=0

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Solution for u^2-7u+22=0 equation:


Simplifying
u2 + -7u + 22 = 0

Reorder the terms:
22 + -7u + u2 = 0

Solving
22 + -7u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + -7u + -22 + u2 = 0 + -22

Reorder the terms:
22 + -22 + -7u + u2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -7u + u2 = 0 + -22
-7u + u2 = 0 + -22

Combine like terms: 0 + -22 = -22
-7u + u2 = -22

The u term is -7u.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7u + 12.25 + u2 = -22 + 12.25

Reorder the terms:
12.25 + -7u + u2 = -22 + 12.25

Combine like terms: -22 + 12.25 = -9.75
12.25 + -7u + u2 = -9.75

Factor a perfect square on the left side:
(u + -3.5)(u + -3.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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