x^2-3x=304

Solution for x^2-3x=304 equation:

x^2-3x=304

We move all terms to the left:

x^2-3x-(304)=0

a = 1; b = -3; c = -304;
Δ = b2-4ac
Δ = -32-4·1·(-304)
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-35}{2*1}=\frac{-32}{2}
=-16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+35}{2*1}=\frac{38}{2}
=19
$