u^2-3u+200=0

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Solution for u^2-3u+200=0 equation:


Simplifying
u2 + -3u + 200 = 0

Reorder the terms:
200 + -3u + u2 = 0

Solving
200 + -3u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-200' to each side of the equation.
200 + -3u + -200 + u2 = 0 + -200

Reorder the terms:
200 + -200 + -3u + u2 = 0 + -200

Combine like terms: 200 + -200 = 0
0 + -3u + u2 = 0 + -200
-3u + u2 = 0 + -200

Combine like terms: 0 + -200 = -200
-3u + u2 = -200

The u term is -3u.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3u + 2.25 + u2 = -200 + 2.25

Reorder the terms:
2.25 + -3u + u2 = -200 + 2.25

Combine like terms: -200 + 2.25 = -197.75
2.25 + -3u + u2 = -197.75

Factor a perfect square on the left side:
(u + -1.5)(u + -1.5) = -197.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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