-13x^2+768x+4608=0

Solution for -13x^2+768x+4608=0 equation:

-13x^2+768x+4608=0

a = -13; b = 768; c = +4608;
Δ = b2-4ac
Δ = 7682-4·(-13)·4608
Δ = 829440
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{829440}=\sqrt{82944*10}=\sqrt{82944}*\sqrt{10}=288\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(768)-288\sqrt{10}}{2*-13}=\frac{-768-288\sqrt{10}}{-26}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(768)+288\sqrt{10}}{2*-13}=\frac{-768+288\sqrt{10}}{-26}
$