X=23.6/11x+8

Solution for X=23.6/11x+8 equation:

X=23.6/11X+8

We move all terms to the left:

X-(23.6/11X+8)=0


Domain of the equation: 11X+8)!=0

X∈R


We get rid of parentheses

X-23.6/11X-8=0

We multiply all the terms by the denominator


X*11X-8*11X-23.6=0

Wy multiply elements

11X^2-88X-23.6=0

a = 11; b = -88; c = -23.6;
Δ = b2-4ac
Δ = -882-4·11·(-23.6)
Δ = 8782.4
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{-(-88)-\sqrt{8782.4}}{2*11}=\frac{88-\sqrt{8782.4}}{22}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-88)+\sqrt{8782.4}}{2*11}=\frac{88+\sqrt{8782.4}}{22}
$