X/x-1 +x/2x+1 =3/(2x+1)(x-1) solve for the unknown write down restrictions
To solve for the unknown, we need to first find a common denominator:
(X/x-1) * ((2x+1)/(2x+1)) + (x/2x+1) * ((x-1)/(x-1)) = 3/(2x+1)(x-1)
2x^2+x-3 + x^2-x = 3
Simplifying further:
3x^2 + x - 3 = 0
Using the quadratic formula:
x = [-1 (+/-) sqrt(37)]/6
The restrictions are that x cannot equal 1 or -1/2, since those values would make the denominators of the original equation equal to zero, which is undefined.