x+(8.25/100)x=1947

Solution for x+(8.25/100)x=1947 equation:

x+(8.25/100)x=1947

We move all terms to the left:

x+(8.25/100)x-(1947)=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+(+8.25/100)x-1947=0

We multiply parentheses

8x^2+x-1947=0

a = 8; b = 1; c = -1947;
Δ = b2-4ac
Δ = 12-4·8·(-1947)
Δ = 62305
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{62305}}{2*8}=\frac{-1-\sqrt{62305}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{62305}}{2*8}=\frac{-1+\sqrt{62305}}{16}
$