X^2-11x+y^2=21

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Solution for X^2-11x+y^2=21 equation:


Simplifying
X2 + -11x + y2 = 21

Solving
X2 + -11x + y2 = 21

Solving for variable 'X'.

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

Add '11x' to each side of the equation.
X2 + -11x + 11x + y2 = 21 + 11x

Combine like terms: -11x + 11x = 0
X2 + 0 + y2 = 21 + 11x
X2 + y2 = 21 + 11x

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 21 + 11x + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 21 + 11x + -1y2
X2 = 21 + 11x + -1y2

Simplifying
X2 = 21 + 11x + -1y2

Reorder the terms:
-21 + X2 + -11x + y2 = 21 + 11x + -1y2 + -21 + -11x + y2

Reorder the terms:
-21 + X2 + -11x + y2 = 21 + -21 + 11x + -11x + -1y2 + y2

Combine like terms: 21 + -21 = 0
-21 + X2 + -11x + y2 = 0 + 11x + -11x + -1y2 + y2
-21 + X2 + -11x + y2 = 11x + -11x + -1y2 + y2

Combine like terms: 11x + -11x = 0
-21 + X2 + -11x + y2 = 0 + -1y2 + y2
-21 + X2 + -11x + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-21 + X2 + -11x + y2 = 0

The solution to this equation could not be determined.

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