11x-x^2=60

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Solution for 11x-x^2=60 equation:


Simplifying
11x + -1x2 = 60

Solving
11x + -1x2 = 60

Solving for variable 'x'.

Reorder the terms:
-60 + 11x + -1x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 11x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
60 + -11x + x2 = 0

Move the constant term to the right:

Add '-60' to each side of the equation.
60 + -11x + -60 + x2 = 0 + -60

Reorder the terms:
60 + -60 + -11x + x2 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -11x + x2 = 0 + -60
-11x + x2 = 0 + -60

Combine like terms: 0 + -60 = -60
-11x + x2 = -60

The x term is -11x.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11x + 30.25 + x2 = -60 + 30.25

Reorder the terms:
30.25 + -11x + x2 = -60 + 30.25

Combine like terms: -60 + 30.25 = -29.75
30.25 + -11x + x2 = -29.75

Factor a perfect square on the left side:
(x + -5.5)(x + -5.5) = -29.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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