X+(5/100)x=500000

Solution for X+(5/100)x=500000 equation:

X+(5/100)X=500000

We move all terms to the left:

X+(5/100)X-(500000)=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+(+5/100)X-500000=0

We multiply parentheses

5X^2+X-500000=0

a = 5; b = 1; c = -500000;
Δ = b2-4ac
Δ = 12-4·5·(-500000)
Δ = 10000001
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{10000001}}{2*5}=\frac{-1-\sqrt{10000001}}{10}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{10000001}}{2*5}=\frac{-1+\sqrt{10000001}}{10}
$