48x^2-24x-24=0

Solution for 48x^2-24x-24=0 equation:

48x^2-24x-24=0

a = 48; b = -24; c = -24;
Δ = b2-4ac
Δ = -242-4·48·(-24)
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-72}{2*48}=\frac{-48}{96}
=-1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+72}{2*48}=\frac{96}{96}
=1
$