X=8.8/9x+100

Solution for X=8.8/9x+100 equation:

X=8.8/9X+100

We move all terms to the left:

X-(8.8/9X+100)=0


Domain of the equation: 9X+100)!=0

X∈R


We get rid of parentheses

X-8.8/9X-100=0

We multiply all the terms by the denominator


X*9X-100*9X-8.8=0

Wy multiply elements

9X^2-900X-8.8=0

a = 9; b = -900; c = -8.8;
Δ = b2-4ac
Δ = -9002-4·9·(-8.8)
Δ = 810316.8
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{-(-900)-\sqrt{810316.8}}{2*9}=\frac{900-\sqrt{810316.8}}{18}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-900)+\sqrt{810316.8}}{2*9}=\frac{900+\sqrt{810316.8}}{18}
$