x^2-19.6x=96.04

Solution for x^2-19.6x=96.04 equation:

x^2-19.6x=96.04

We move all terms to the left:

x^2-19.6x-(96.04)=0

We add all the numbers together, and all the variables

x^2-19.6x-96.04=0

a = 1; b = -19.6; c = -96.04;
Δ = b2-4ac
Δ = -19.62-4·1·(-96.04)
Δ = 768.32
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{-(-19.6)-\sqrt{768.32}}{2*1}=\frac{19.6-\sqrt{768.32}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19.6)+\sqrt{768.32}}{2*1}=\frac{19.6+\sqrt{768.32}}{2}
$