sqrt(2x+3)-sqrt(x+1)=1

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Solution for sqrt(2x+3)-sqrt(x+1)=1 equation:


Simplifying
sqrt(2x + 3) + -1sqrt(x + 1) = 1

Reorder the terms:
qrst(3 + 2x) + -1sqrt(x + 1) = 1
(3 * qrst + 2x * qrst) + -1sqrt(x + 1) = 1
(3qrst + 2qrstx) + -1sqrt(x + 1) = 1

Reorder the terms:
3qrst + 2qrstx + -1qrst(1 + x) = 1
3qrst + 2qrstx + (1 * -1qrst + x * -1qrst) = 1
3qrst + 2qrstx + (-1qrst + -1qrstx) = 1

Reorder the terms:
3qrst + -1qrst + 2qrstx + -1qrstx = 1

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

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

Solving
2qrst + 1qrstx = 1

Solving for variable 'q'.

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

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

Combine like terms: 1 + -1 = 0
-1 + 2qrst + 1qrstx = 0

The solution to this equation could not be determined.

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