X+(25/100)x=15.00

Solution for X+(25/100)x=15.00 equation:

X+(25/100)X=15.00

We move all terms to the left:

X+(25/100)X-(15.00)=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+(+25/100)X-15=0

We multiply parentheses

25X^2+X-15=0

a = 25; b = 1; c = -15;
Δ = b2-4ac
Δ = 12-4·25·(-15)
Δ = 1501
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{1501}}{2*25}=\frac{-1-\sqrt{1501}}{50}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1501}}{2*25}=\frac{-1+\sqrt{1501}}{50}
$