4x^2-12x+11=0

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Solution for 4x^2-12x+11=0 equation:


Simplifying
4x2 + -12x + 11 = 0

Reorder the terms:
11 + -12x + 4x2 = 0

Solving
11 + -12x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
2.75 + -3x + x2 = 0

Move the constant term to the right:

Add '-2.75' to each side of the equation.
2.75 + -3x + -2.75 + x2 = 0 + -2.75

Reorder the terms:
2.75 + -2.75 + -3x + x2 = 0 + -2.75

Combine like terms: 2.75 + -2.75 = 0.00
0.00 + -3x + x2 = 0 + -2.75
-3x + x2 = 0 + -2.75

Combine like terms: 0 + -2.75 = -2.75
-3x + x2 = -2.75

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -2.75 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -2.75 + 2.25

Combine like terms: -2.75 + 2.25 = -0.5
2.25 + -3x + x2 = -0.5

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -0.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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