48x^2-x-2=0

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

48x^2-x-2=0

We add all the numbers together, and all the variables

48x^2-1x-2=0

a = 48; b = -1; c = -2;
Δ = b2-4ac
Δ = -12-4·48·(-2)
Δ = 385
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{-(-1)-\sqrt{385}}{2*48}=\frac{1-\sqrt{385}}{96}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{385}}{2*48}=\frac{1+\sqrt{385}}{96}
$