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

Simple and best practice solution for sqrt(x+1)+sqrt(x-1)=1 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

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

See similar equations:

| 1/6(x+2)=2x-5(4-x)-7 | | 3x+5/2=0 | | 18w-(-77)=455 | | 3(5x-1)-6=1 | | -9+2(x+6)=26 | | 8n+18=34 | | 2-8v=8v+9 | | 2/5(3x+12)=2(3-3x)+6 | | 8x+6=4x+16 | | 6y^2+54y=0 | | -2/3=-f/6+3/2 | | d/15-151=-133 | | 225x+1.4=1425 | | 64-3x=15x-20 | | 0-5x=9x+20 | | 1.5(b+2)+(2b-9)+15=90 | | 219-3n=648 | | 1/m-1/9=4/9-2/3m | | 225x+1.4y+xy=1425 | | 6/5x=90 | | 3(1x+5)=36 | | x^2-14x-4= | | 1.5(b+2)+15(2b-9)=90 | | 60-6x-3-4x+8=0 | | abs(x+2)=abs(x-3) | | y/-10=6 | | x/6+3=10 | | 60-6x-3=4x+8 | | up+ur=r | | -1=d/9-3 | | -3n= | | x=(-x+54)/x+2 |

Equations solver categories