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

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


Simplifying
sqrt(x * x + 2) + -1sqrt(x * x + 1) = y

Multiply x * x
qrst(x2 + 2) + -1sqrt(x * x + 1) = y

Reorder the terms:
qrst(2 + x2) + -1sqrt(x * x + 1) = y
(2 * qrst + x2 * qrst) + -1sqrt(x * x + 1) = y
(2qrst + qrstx2) + -1sqrt(x * x + 1) = y

Multiply x * x
2qrst + qrstx2 + -1qrst(x2 + 1) = y

Reorder the terms:
2qrst + qrstx2 + -1qrst(1 + x2) = y
2qrst + qrstx2 + (1 * -1qrst + x2 * -1qrst) = y
2qrst + qrstx2 + (-1qrst + -1qrstx2) = y

Reorder the terms:
2qrst + -1qrst + qrstx2 + -1qrstx2 = y

Combine like terms: 2qrst + -1qrst = 1qrst
1qrst + qrstx2 + -1qrstx2 = y

Combine like terms: qrstx2 + -1qrstx2 = 0
1qrst + 0 = y
1qrst = y

Solving
1qrst = y

Solving for variable 'q'.

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

Divide each side by '1rst'.
q = r-1s-1t-1y

Simplifying
q = r-1s-1t-1y

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