5x^2+864x-3456=0

Solution for 5x^2+864x-3456=0 equation:

5x^2+864x-3456=0

a = 5; b = 864; c = -3456;
Δ = b2-4ac
Δ = 8642-4·5·(-3456)
Δ = 815616
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:

$\sqrt{\Delta}=\sqrt{815616}=\sqrt{2304*354}=\sqrt{2304}*\sqrt{354}=48\sqrt{354}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(864)-48\sqrt{354}}{2*5}=\frac{-864-48\sqrt{354}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(864)+48\sqrt{354}}{2*5}=\frac{-864+48\sqrt{354}}{10}
$