x+(19/100)x=20.23

Solution for x+(19/100)x=20.23 equation:

x+(19/100)x=20.23

We move all terms to the left:

x+(19/100)x-(20.23)=0


Domain of the equation: 100)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x+(+19/100)x-(20.23)=0

We add all the numbers together, and all the variables

x+(+19/100)x-20.23=0

We multiply parentheses

19x^2+x-20.23=0

a = 19; b = 1; c = -20.23;
Δ = b2-4ac
Δ = 12-4·19·(-20.23)
Δ = 1538.48
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{-(1)-\sqrt{1538.48}}{2*19}=\frac{-1-\sqrt{1538.48}}{38}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1538.48}}{2*19}=\frac{-1+\sqrt{1538.48}}{38}
$