7x^2-y^2=31

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Solution for 7x^2-y^2=31 equation:


Simplifying
7x2 + -1y2 = 31

Solving
7x2 + -1y2 = 31

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.
7x2 + -1y2 + y2 = 31 + y2

Combine like terms: -1y2 + y2 = 0
7x2 + 0 = 31 + y2
7x2 = 31 + y2

Divide each side by '7'.
x2 = 4.428571429 + 0.1428571429y2

Simplifying
x2 = 4.428571429 + 0.1428571429y2

Reorder the terms:
-4.428571429 + x2 + -0.1428571429y2 = 4.428571429 + 0.1428571429y2 + -4.428571429 + -0.1428571429y2

Reorder the terms:
-4.428571429 + x2 + -0.1428571429y2 = 4.428571429 + -4.428571429 + 0.1428571429y2 + -0.1428571429y2

Combine like terms: 4.428571429 + -4.428571429 = 0.000000000
-4.428571429 + x2 + -0.1428571429y2 = 0.000000000 + 0.1428571429y2 + -0.1428571429y2
-4.428571429 + x2 + -0.1428571429y2 = 0.1428571429y2 + -0.1428571429y2

Combine like terms: 0.1428571429y2 + -0.1428571429y2 = 0.0000000000
-4.428571429 + x2 + -0.1428571429y2 = 0.0000000000

The solution to this equation could not be determined.

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