X-4/100x=20.93

Solution for X-4/100x=20.93 equation:

X-4/100X=20.93

We move all terms to the left:

X-4/100X-(20.93)=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-4/100X-20.93=0

We multiply all the terms by the denominator


X*100X-(20.93)*100X-4=0

We multiply parentheses

X*100X-2093X-4=0

Wy multiply elements

100X^2-2093X-4=0

a = 100; b = -2093; c = -4;
Δ = b2-4ac
Δ = -20932-4·100·(-4)
Δ = 4382249
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{-(-2093)-\sqrt{4382249}}{2*100}=\frac{2093-\sqrt{4382249}}{200}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2093)+\sqrt{4382249}}{2*100}=\frac{2093+\sqrt{4382249}}{200}
$