x^2-11x+84=0

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Solution for x^2-11x+84=0 equation: 


Simplifying
x2 + -11x + 84 = 0

Reorder the terms:
84 + -11x + x2 = 0

Solving
84 + -11x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-84' to each side of the equation.
84 + -11x + -84 + x2 = 0 + -84

Reorder the terms:
84 + -84 + -11x + x2 = 0 + -84

Combine like terms: 84 + -84 = 0
0 + -11x + x2 = 0 + -84
-11x + x2 = 0 + -84

Combine like terms: 0 + -84 = -84
-11x + x2 = -84

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 = -84 + 30.25

Reorder the terms:
30.25 + -11x + x2 = -84 + 30.25

Combine like terms: -84 + 30.25 = -53.75
30.25 + -11x + x2 = -53.75

Factor a perfect square on the left side:
(x + -5.5)(x + -5.5) = -53.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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