x+(5/100)x=450

Solution for x+(5/100)x=450 equation:

x+(5/100)x=450

We move all terms to the left:

x+(5/100)x-(450)=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-450=0

We multiply parentheses

5x^2+x-450=0

a = 5; b = 1; c = -450;
Δ = b2-4ac
Δ = 12-4·5·(-450)
Δ = 9001
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{9001}}{2*5}=\frac{-1-\sqrt{9001}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{9001}}{2*5}=\frac{-1+\sqrt{9001}}{10}
$