x^2-19x+130=0

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Solution for x^2-19x+130=0 equation:


Simplifying
x2 + -19x + 130 = 0

Reorder the terms:
130 + -19x + x2 = 0

Solving
130 + -19x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-130' to each side of the equation.
130 + -19x + -130 + x2 = 0 + -130

Reorder the terms:
130 + -130 + -19x + x2 = 0 + -130

Combine like terms: 130 + -130 = 0
0 + -19x + x2 = 0 + -130
-19x + x2 = 0 + -130

Combine like terms: 0 + -130 = -130
-19x + x2 = -130

The x term is -19x.  Take half its coefficient (-9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
-19x + 90.25 + x2 = -130 + 90.25

Reorder the terms:
90.25 + -19x + x2 = -130 + 90.25

Combine like terms: -130 + 90.25 = -39.75
90.25 + -19x + x2 = -39.75

Factor a perfect square on the left side:
(x + -9.5)(x + -9.5) = -39.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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