x^2=11x-53

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Solution for x^2=11x-53 equation:


Simplifying
x2 = 11x + -53

Reorder the terms:
x2 = -53 + 11x

Solving
x2 = -53 + 11x

Solving for variable 'x'.

Reorder the terms:
53 + -11x + x2 = -53 + 11x + 53 + -11x

Reorder the terms:
53 + -11x + x2 = -53 + 53 + 11x + -11x

Combine like terms: -53 + 53 = 0
53 + -11x + x2 = 0 + 11x + -11x
53 + -11x + x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
53 + -11x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-53' to each side of the equation.
53 + -11x + -53 + x2 = 0 + -53

Reorder the terms:
53 + -53 + -11x + x2 = 0 + -53

Combine like terms: 53 + -53 = 0
0 + -11x + x2 = 0 + -53
-11x + x2 = 0 + -53

Combine like terms: 0 + -53 = -53
-11x + x2 = -53

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 = -53 + 30.25

Reorder the terms:
30.25 + -11x + x2 = -53 + 30.25

Combine like terms: -53 + 30.25 = -22.75
30.25 + -11x + x2 = -22.75

Factor a perfect square on the left side:
(x + -5.5)(x + -5.5) = -22.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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