x^2-21x+121=0

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Solution for x^2-21x+121=0 equation:


Simplifying
x2 + -21x + 121 = 0

Reorder the terms:
121 + -21x + x2 = 0

Solving
121 + -21x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-121' to each side of the equation.
121 + -21x + -121 + x2 = 0 + -121

Reorder the terms:
121 + -121 + -21x + x2 = 0 + -121

Combine like terms: 121 + -121 = 0
0 + -21x + x2 = 0 + -121
-21x + x2 = 0 + -121

Combine like terms: 0 + -121 = -121
-21x + x2 = -121

The x term is -21x.  Take half its coefficient (-10.5).
Square it (110.25) and add it to both sides.

Add '110.25' to each side of the equation.
-21x + 110.25 + x2 = -121 + 110.25

Reorder the terms:
110.25 + -21x + x2 = -121 + 110.25

Combine like terms: -121 + 110.25 = -10.75
110.25 + -21x + x2 = -10.75

Factor a perfect square on the left side:
(x + -10.5)(x + -10.5) = -10.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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