Explanation:
Multiply the entire equation by x + 1 to get :
x+1 / x - 1 = 4(x+1) and now multiply the entire equation by 'x' to get
(x+1) - x = 4 ( x+1) x
(x+1 - x ) = 4 ( x^2 + x)
1 = 4 ( x^2 +x) simplify and re-arrange
1 = 4x^2 + 4x subtract '1' from both sides of the equation to get:
4 x^2 + 4 x - 1 = 0 use Quadratic formula with a = 4 b= 4 and c = -1
( plug these values into the Quadratic Formula below and calculate)
to find x = - 1/2 ± 1/2 sqrt(2)
For a Quadratic Equation of the form
a x^2 + b x + c = 0
use the Quadratic Formula to find the values of 'x' ....
here is the Quadratic Formula :