X+(17/100)x=18.72

Solution for X+(17/100)x=18.72 equation:

X+(17/100)X=18.72

We move all terms to the left:

X+(17/100)X-(18.72)=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+(+17/100)X-(18.72)=0

We add all the numbers together, and all the variables

X+(+17/100)X-18.72=0

We multiply parentheses

17X^2+X-18.72=0

a = 17; b = 1; c = -18.72;
Δ = b2-4ac
Δ = 12-4·17·(-18.72)
Δ = 1273.96
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{1273.96}}{2*17}=\frac{-1-\sqrt{1273.96}}{34}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1273.96}}{2*17}=\frac{-1+\sqrt{1273.96}}{34}
$