x+(13/100)x=19.21

Solution for x+(13/100)x=19.21 equation:

x+(13/100)x=19.21

We move all terms to the left:

x+(13/100)x-(19.21)=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+(+13/100)x-(19.21)=0

We add all the numbers together, and all the variables

x+(+13/100)x-19.21=0

We multiply parentheses

13x^2+x-19.21=0

a = 13; b = 1; c = -19.21;
Δ = b2-4ac
Δ = 12-4·13·(-19.21)
Δ = 999.92
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{999.92}}{2*13}=\frac{-1-\sqrt{999.92}}{26}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{999.92}}{2*13}=\frac{-1+\sqrt{999.92}}{26}
$