X+8/100x=135

Solution for X+8/100x=135 equation:

X+8/100X=135

We move all terms to the left:

X+8/100X-(135)=0


Domain of the equation: 100X!=0

X!=0/100

X!=0

X∈R


We multiply all the terms by the denominator


X*100X-135*100X+8=0

Wy multiply elements

100X^2-13500X+8=0

a = 100; b = -13500; c = +8;
Δ = b2-4ac
Δ = -135002-4·100·8
Δ = 182246800
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{182246800}=\sqrt{400*455617}=\sqrt{400}*\sqrt{455617}=20\sqrt{455617}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13500)-20\sqrt{455617}}{2*100}=\frac{13500-20\sqrt{455617}}{200}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13500)+20\sqrt{455617}}{2*100}=\frac{13500+20\sqrt{455617}}{200}
$