4u^2-11u+35=0

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Solution for 4u^2-11u+35=0 equation:


Simplifying
4u2 + -11u + 35 = 0

Reorder the terms:
35 + -11u + 4u2 = 0

Solving
35 + -11u + 4u2 = 0

Solving for variable 'u'.

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
8.75 + -2.75u + u2 = 0

Move the constant term to the right:

Add '-8.75' to each side of the equation.
8.75 + -2.75u + -8.75 + u2 = 0 + -8.75

Reorder the terms:
8.75 + -8.75 + -2.75u + u2 = 0 + -8.75

Combine like terms: 8.75 + -8.75 = 0.00
0.00 + -2.75u + u2 = 0 + -8.75
-2.75u + u2 = 0 + -8.75

Combine like terms: 0 + -8.75 = -8.75
-2.75u + u2 = -8.75

The u term is -2.75u.  Take half its coefficient (-1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
-2.75u + 1.890625 + u2 = -8.75 + 1.890625

Reorder the terms:
1.890625 + -2.75u + u2 = -8.75 + 1.890625

Combine like terms: -8.75 + 1.890625 = -6.859375
1.890625 + -2.75u + u2 = -6.859375

Factor a perfect square on the left side:
(u + -1.375)(u + -1.375) = -6.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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