sqrt(1-x^2)+sqrt(1-y^2)=2-x^2-y^2

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Solution for sqrt(1-x^2)+sqrt(1-y^2)=2-x^2-y^2 equation:


Simplifying
sqrt(1 + -1x2) + sqrt(1 + -1y2) = 2 + -1x2 + -1y2
(1 * qrst + -1x2 * qrst) + sqrt(1 + -1y2) = 2 + -1x2 + -1y2
(1qrst + -1qrstx2) + sqrt(1 + -1y2) = 2 + -1x2 + -1y2
1qrst + -1qrstx2 + (1 * qrst + -1y2 * qrst) = 2 + -1x2 + -1y2
1qrst + -1qrstx2 + (1qrst + -1qrsty2) = 2 + -1x2 + -1y2

Reorder the terms:
1qrst + 1qrst + -1qrstx2 + -1qrsty2 = 2 + -1x2 + -1y2

Combine like terms: 1qrst + 1qrst = 2qrst
2qrst + -1qrstx2 + -1qrsty2 = 2 + -1x2 + -1y2

Solving
2qrst + -1qrstx2 + -1qrsty2 = 2 + -1x2 + -1y2

Solving for variable 'q'.

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

Reorder the terms:
-2 + 2qrst + -1qrstx2 + -1qrsty2 + x2 + y2 = 2 + -1x2 + -1y2 + -2 + x2 + y2

Reorder the terms:
-2 + 2qrst + -1qrstx2 + -1qrsty2 + x2 + y2 = 2 + -2 + -1x2 + x2 + -1y2 + y2

Combine like terms: 2 + -2 = 0
-2 + 2qrst + -1qrstx2 + -1qrsty2 + x2 + y2 = 0 + -1x2 + x2 + -1y2 + y2
-2 + 2qrst + -1qrstx2 + -1qrsty2 + x2 + y2 = -1x2 + x2 + -1y2 + y2

Combine like terms: -1x2 + x2 = 0
-2 + 2qrst + -1qrstx2 + -1qrsty2 + x2 + y2 = 0 + -1y2 + y2
-2 + 2qrst + -1qrstx2 + -1qrsty2 + x2 + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-2 + 2qrst + -1qrstx2 + -1qrsty2 + x2 + y2 = 0

The solution to this equation could not be determined.

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