x^2-4x+11=0

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


Simplifying
x2 + -4x + 11 = 0

Reorder the terms:
11 + -4x + x2 = 0

Solving
11 + -4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + -4x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + -4x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4x + x2 = 0 + -11
-4x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
-4x + x2 = -11

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -11 + 4

Reorder the terms:
4 + -4x + x2 = -11 + 4

Combine like terms: -11 + 4 = -7
4 + -4x + x2 = -7

Factor a perfect square on the left side:
(x + -2)(x + -2) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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