4x^2-16x+41=0

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Solution for 4x^2-16x+41=0 equation:


Simplifying
4x2 + -16x + 41 = 0

Reorder the terms:
41 + -16x + 4x2 = 0

Solving
41 + -16x + 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'.
10.25 + -4x + x2 = 0

Move the constant term to the right:

Add '-10.25' to each side of the equation.
10.25 + -4x + -10.25 + x2 = 0 + -10.25

Reorder the terms:
10.25 + -10.25 + -4x + x2 = 0 + -10.25

Combine like terms: 10.25 + -10.25 = 0.00
0.00 + -4x + x2 = 0 + -10.25
-4x + x2 = 0 + -10.25

Combine like terms: 0 + -10.25 = -10.25
-4x + x2 = -10.25

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 = -10.25 + 4

Reorder the terms:
4 + -4x + x2 = -10.25 + 4

Combine like terms: -10.25 + 4 = -6.25
4 + -4x + x2 = -6.25

Factor a perfect square on the left side:
(x + -2)(x + -2) = -6.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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