61x^2+1=y^2

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Solution for 61x^2+1=y^2 equation:


Simplifying
61x2 + 1 = y2

Reorder the terms:
1 + 61x2 = y2

Solving
1 + 61x2 = y2

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 + -1 + 61x2 = -1 + y2

Combine like terms: 1 + -1 = 0
0 + 61x2 = -1 + y2
61x2 = -1 + y2

Divide each side by '61'.
x2 = -0.01639344262 + 0.01639344262y2

Simplifying
x2 = -0.01639344262 + 0.01639344262y2

Reorder the terms:
0.01639344262 + x2 + -0.01639344262y2 = -0.01639344262 + 0.01639344262y2 + 0.01639344262 + -0.01639344262y2

Reorder the terms:
0.01639344262 + x2 + -0.01639344262y2 = -0.01639344262 + 0.01639344262 + 0.01639344262y2 + -0.01639344262y2

Combine like terms: -0.01639344262 + 0.01639344262 = 0.00000000000
0.01639344262 + x2 + -0.01639344262y2 = 0.00000000000 + 0.01639344262y2 + -0.01639344262y2
0.01639344262 + x2 + -0.01639344262y2 = 0.01639344262y2 + -0.01639344262y2

Combine like terms: 0.01639344262y2 + -0.01639344262y2 = 0.00000000000
0.01639344262 + x2 + -0.01639344262y2 = 0.00000000000

The solution to this equation could not be determined.

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