16x^2-144x-2268=0

Solution for 16x^2-144x-2268=0 equation:

16x^2-144x-2268=0

a = 16; b = -144; c = -2268;
Δ = b2-4ac
Δ = -1442-4·16·(-2268)
Δ = 165888
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:

$\sqrt{\Delta}=\sqrt{165888}=\sqrt{82944*2}=\sqrt{82944}*\sqrt{2}=288\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-144)-288\sqrt{2}}{2*16}=\frac{144-288\sqrt{2}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-144)+288\sqrt{2}}{2*16}=\frac{144+288\sqrt{2}}{32}
$