x^2+16.8x=1908.206

Solution for x^2+16.8x=1908.206 equation:

x^2+16.8x=1908.206

We move all terms to the left:

x^2+16.8x-(1908.206)=0

We add all the numbers together, and all the variables

x^2+16.8x-1908.206=0

a = 1; b = 16.8; c = -1908.206;
Δ = b2-4ac
Δ = 16.82-4·1·(-1908.206)
Δ = 7915.064
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{-(16.8)-\sqrt{7915.064}}{2*1}=\frac{-16.8-\sqrt{7915.064}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16.8)+\sqrt{7915.064}}{2*1}=\frac{-16.8+\sqrt{7915.064}}{2}
$