x^2-8x+37=0

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Solution for x^2-8x+37=0 equation:


Simplifying
x2 + -8x + 37 = 0

Reorder the terms:
37 + -8x + x2 = 0

Solving
37 + -8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-37' to each side of the equation.
37 + -8x + -37 + x2 = 0 + -37

Reorder the terms:
37 + -37 + -8x + x2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -8x + x2 = 0 + -37
-8x + x2 = 0 + -37

Combine like terms: 0 + -37 = -37
-8x + x2 = -37

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -37 + 16

Reorder the terms:
16 + -8x + x2 = -37 + 16

Combine like terms: -37 + 16 = -21
16 + -8x + x2 = -21

Factor a perfect square on the left side:
(x + -4)(x + -4) = -21

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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