(x)(x)-(y)(y)=100

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Solution for (x)(x)-(y)(y)=100 equation:


Simplifying
(x)(x) + -1(y)(y) = 100

Multiply x * x
x2 + -1(y)(y) = 100

Multiply y * y
x2 + -1y2 = 100

Solving
x2 + -1y2 = 100

Solving for variable 'x'.

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

Add 'y2' to each side of the equation.
x2 + -1y2 + y2 = 100 + y2

Combine like terms: -1y2 + y2 = 0
x2 + 0 = 100 + y2
x2 = 100 + y2

Simplifying
x2 = 100 + y2

Reorder the terms:
-100 + x2 + -1y2 = 100 + y2 + -100 + -1y2

Reorder the terms:
-100 + x2 + -1y2 = 100 + -100 + y2 + -1y2

Combine like terms: 100 + -100 = 0
-100 + x2 + -1y2 = 0 + y2 + -1y2
-100 + x2 + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-100 + x2 + -1y2 = 0

The solution to this equation could not be determined.

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