a^2-3b^2=1

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Solution for a^2-3b^2=1 equation:


Simplifying
a2 + -3b2 = 1

Solving
a2 + -3b2 = 1

Solving for variable 'a'.

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

Add '3b2' to each side of the equation.
a2 + -3b2 + 3b2 = 1 + 3b2

Combine like terms: -3b2 + 3b2 = 0
a2 + 0 = 1 + 3b2
a2 = 1 + 3b2

Simplifying
a2 = 1 + 3b2

Reorder the terms:
-1 + a2 + -3b2 = 1 + 3b2 + -1 + -3b2

Reorder the terms:
-1 + a2 + -3b2 = 1 + -1 + 3b2 + -3b2

Combine like terms: 1 + -1 = 0
-1 + a2 + -3b2 = 0 + 3b2 + -3b2
-1 + a2 + -3b2 = 3b2 + -3b2

Combine like terms: 3b2 + -3b2 = 0
-1 + a2 + -3b2 = 0

The solution to this equation could not be determined.

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