x^2-11x+60=0

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Solution for x^2-11x+60=0 equation:


Simplifying
x2 + -11x + 60 = 0

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

Solving
60 + -11x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

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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