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

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


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

Reorder the terms:
qrst(1 + x) + -1sqrt(x + -2) = 1
(1 * qrst + x * qrst) + -1sqrt(x + -2) = 1
(1qrst + qrstx) + -1sqrt(x + -2) = 1

Reorder the terms:
1qrst + qrstx + -1qrst(-2 + x) = 1
1qrst + qrstx + (-2 * -1qrst + x * -1qrst) = 1
1qrst + qrstx + (2qrst + -1qrstx) = 1

Reorder the terms:
1qrst + 2qrst + qrstx + -1qrstx = 1

Combine like terms: 1qrst + 2qrst = 3qrst
3qrst + qrstx + -1qrstx = 1

Combine like terms: qrstx + -1qrstx = 0
3qrst + 0 = 1
3qrst = 1

Solving
3qrst = 1

Solving for variable 'q'.

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

Divide each side by '3rst'.
q = 0.3333333333r-1s-1t-1

Simplifying
q = 0.3333333333r-1s-1t-1

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