Question

Solve 4/(x + 1) - 1/x = 1 over the real numbers.

Answer 1

Ok sorry I guessed this one but it was x = 1
4/(1+1) - 1/1 = 1
2 - 1 = 1
And it's right :)

Answer 2

`( 4)/(x + 1) - (1)/(x) = 1 \\ \\x+1\\eq 0 \ \ \ and \ \ \ x\\eq 0 \\ \\x\\eq -1 \ \ \ and \ \ \ x\\eq 0 \\ \\D=R\setminus \left \{ -1,0 \right \}`


`( 4x- (x+1))/(x(x + 1)) = 1 \\ \\( 4x- x-1 )/(x^2+ x)=1 \\ \\( 3x -1 )/(x^2 + x) = 1 \\ \\3x-1=x^2+x\\ \\ x^2+x-3x+1=0`


`x^2-2x+1=0 \\ \\ (x-1)^2=0 \\ \\x-1=0 \\ \\x=1`