x^2-11x+k^2=19

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Solution for x^2-11x+k^2=19 equation:


Simplifying
x2 + -11x + k2 = 19

Reorder the terms:
k2 + -11x + x2 = 19

Solving
k2 + -11x + x2 = 19

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '11x' to each side of the equation.
k2 + -11x + 11x + x2 = 19 + 11x

Combine like terms: -11x + 11x = 0
k2 + 0 + x2 = 19 + 11x
k2 + x2 = 19 + 11x

Add '-1x2' to each side of the equation.
k2 + x2 + -1x2 = 19 + 11x + -1x2

Combine like terms: x2 + -1x2 = 0
k2 + 0 = 19 + 11x + -1x2
k2 = 19 + 11x + -1x2

Simplifying
k2 = 19 + 11x + -1x2

Reorder the terms:
-19 + k2 + -11x + x2 = 19 + 11x + -1x2 + -19 + -11x + x2

Reorder the terms:
-19 + k2 + -11x + x2 = 19 + -19 + 11x + -11x + -1x2 + x2

Combine like terms: 19 + -19 = 0
-19 + k2 + -11x + x2 = 0 + 11x + -11x + -1x2 + x2
-19 + k2 + -11x + x2 = 11x + -11x + -1x2 + x2

Combine like terms: 11x + -11x = 0
-19 + k2 + -11x + x2 = 0 + -1x2 + x2
-19 + k2 + -11x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-19 + k2 + -11x + x2 = 0

The solution to this equation could not be determined.

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