100=x+2/x+1

Solution for 100=x+2/x+1 equation:

100=x+2/x+1

We move all terms to the left:

100-(x+2/x+1)=0


Domain of the equation: x+1)!=0

x∈R


We get rid of parentheses

-x-2/x-1+100=0

We multiply all the terms by the denominator


-x*x-1*x+100*x-2=0

We add all the numbers together, and all the variables

99x-x*x-2=0

Wy multiply elements

-1x^2+99x-2=0

a = -1; b = 99; c = -2;
Δ = b2-4ac
Δ = 992-4·(-1)·(-2)
Δ = 9793
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(99)-\sqrt{9793}}{2*-1}=\frac{-99-\sqrt{9793}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(99)+\sqrt{9793}}{2*-1}=\frac{-99+\sqrt{9793}}{-2}
$