x^2-5y^2=100

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Solution for x^2-5y^2=100 equation:


Simplifying
x2 + -5y2 = 100

Solving
x2 + -5y2 = 100

Solving for variable 'x'.

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

Add '5y2' to each side of the equation.
x2 + -5y2 + 5y2 = 100 + 5y2

Combine like terms: -5y2 + 5y2 = 0
x2 + 0 = 100 + 5y2
x2 = 100 + 5y2

Simplifying
x2 = 100 + 5y2

Reorder the terms:
-100 + x2 + -5y2 = 100 + 5y2 + -100 + -5y2

Reorder the terms:
-100 + x2 + -5y2 = 100 + -100 + 5y2 + -5y2

Combine like terms: 100 + -100 = 0
-100 + x2 + -5y2 = 0 + 5y2 + -5y2
-100 + x2 + -5y2 = 5y2 + -5y2

Combine like terms: 5y2 + -5y2 = 0
-100 + x2 + -5y2 = 0

The solution to this equation could not be determined.

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