y^2-2x^2-1=0

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Solution for y^2-2x^2-1=0 equation:


Simplifying
y2 + -2x2 + -1 = 0

Reorder the terms:
-1 + -2x2 + y2 = 0

Solving
-1 + -2x2 + y2 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + -2x2 + 1 + y2 = 0 + 1

Reorder the terms:
-1 + 1 + -2x2 + y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x2 + y2 = 0 + 1
-2x2 + y2 = 0 + 1

Combine like terms: 0 + 1 = 1
-2x2 + y2 = 1

Add '-1y2' to each side of the equation.
-2x2 + y2 + -1y2 = 1 + -1y2

Combine like terms: y2 + -1y2 = 0
-2x2 + 0 = 1 + -1y2
-2x2 = 1 + -1y2

Divide each side by '-2'.
x2 = -0.5 + 0.5y2

Simplifying
x2 = -0.5 + 0.5y2

Reorder the terms:
0.5 + x2 + -0.5y2 = -0.5 + 0.5y2 + 0.5 + -0.5y2

Reorder the terms:
0.5 + x2 + -0.5y2 = -0.5 + 0.5 + 0.5y2 + -0.5y2

Combine like terms: -0.5 + 0.5 = 0.0
0.5 + x2 + -0.5y2 = 0.0 + 0.5y2 + -0.5y2
0.5 + x2 + -0.5y2 = 0.5y2 + -0.5y2

Combine like terms: 0.5y2 + -0.5y2 = 0.0
0.5 + x2 + -0.5y2 = 0.0

The solution to this equation could not be determined.

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