x^2-20x+199=0

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Solution for x^2-20x+199=0 equation:


Simplifying
x2 + -20x + 199 = 0

Reorder the terms:
199 + -20x + x2 = 0

Solving
199 + -20x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-199' to each side of the equation.
199 + -20x + -199 + x2 = 0 + -199

Reorder the terms:
199 + -199 + -20x + x2 = 0 + -199

Combine like terms: 199 + -199 = 0
0 + -20x + x2 = 0 + -199
-20x + x2 = 0 + -199

Combine like terms: 0 + -199 = -199
-20x + x2 = -199

The x term is -20x.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20x + 100 + x2 = -199 + 100

Reorder the terms:
100 + -20x + x2 = -199 + 100

Combine like terms: -199 + 100 = -99
100 + -20x + x2 = -99

Factor a perfect square on the left side:
(x + -10)(x + -10) = -99

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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