x^2-22x+169=0

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Solution for x^2-22x+169=0 equation:


Simplifying
x2 + -22x + 169 = 0

Reorder the terms:
169 + -22x + x2 = 0

Solving
169 + -22x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-169' to each side of the equation.
169 + -22x + -169 + x2 = 0 + -169

Reorder the terms:
169 + -169 + -22x + x2 = 0 + -169

Combine like terms: 169 + -169 = 0
0 + -22x + x2 = 0 + -169
-22x + x2 = 0 + -169

Combine like terms: 0 + -169 = -169
-22x + x2 = -169

The x term is -22x.  Take half its coefficient (-11).
Square it (121) and add it to both sides.

Add '121' to each side of the equation.
-22x + 121 + x2 = -169 + 121

Reorder the terms:
121 + -22x + x2 = -169 + 121

Combine like terms: -169 + 121 = -48
121 + -22x + x2 = -48

Factor a perfect square on the left side:
(x + -11)(x + -11) = -48

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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