X+(5/100)x=246

Solution for X+(5/100)x=246 equation:

X+(5/100)X=246

We move all terms to the left:

X+(5/100)X-(246)=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-246=0

We multiply parentheses

5X^2+X-246=0

a = 5; b = 1; c = -246;
Δ = b2-4ac
Δ = 12-4·5·(-246)
Δ = 4921
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{4921}}{2*5}=\frac{-1-\sqrt{4921}}{10}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{4921}}{2*5}=\frac{-1+\sqrt{4921}}{10}
$