24x^2-66x+15=0

Solution for 24x^2-66x+15=0 equation:

24x^2-66x+15=0

a = 24; b = -66; c = +15;
Δ = b2-4ac
Δ = -662-4·24·15
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-66)-54}{2*24}=\frac{12}{48}
=1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-66)+54}{2*24}=\frac{120}{48}
=2+1/2
$