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

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

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

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

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

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

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

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

Solving
2qrstx = 1

Solving for variable 'q'.

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

Divide each side by '2rstx'.
q = 0.5r-1s-1t-1x-1

Simplifying
q = 0.5r-1s-1t-1x-1