X+18/100x=18.88

Solution for X+18/100x=18.88 equation:

X+18/100X=18.88

We move all terms to the left:

X+18/100X-(18.88)=0


Domain of the equation: 100X!=0

X!=0/100

X!=0

X∈R


We add all the numbers together, and all the variables

X+18/100X-18.88=0

We multiply all the terms by the denominator


X*100X-(18.88)*100X+18=0

We multiply parentheses

X*100X-1888X+18=0

Wy multiply elements

100X^2-1888X+18=0

a = 100; b = -1888; c = +18;
Δ = b2-4ac
Δ = -18882-4·100·18
Δ = 3557344
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:

$\sqrt{\Delta}=\sqrt{3557344}=\sqrt{16*222334}=\sqrt{16}*\sqrt{222334}=4\sqrt{222334}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1888)-4\sqrt{222334}}{2*100}=\frac{1888-4\sqrt{222334}}{200}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1888)+4\sqrt{222334}}{2*100}=\frac{1888+4\sqrt{222334}}{200}
$