-10.8x^2+344.8x-2465=0

Solution for -10.8x^2+344.8x-2465=0 equation:

-10.8x^2+344.8x-2465=0

a = -10.8; b = 344.8; c = -2465;
Δ = b2-4ac
Δ = 344.82-4·(-10.8)·(-2465)
Δ = 12399.04
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{-(344.8)-\sqrt{12399.04}}{2*-10.8}=\frac{-344.8-\sqrt{12399.04}}{-21.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(344.8)+\sqrt{12399.04}}{2*-10.8}=\frac{-344.8+\sqrt{12399.04}}{-21.6}
$