9-6a-24a2=0

Solution for 9-6a-24a2=0 equation:

9-6a-24a^2=0

a = -24; b = -6; c = +9;
Δ = b2-4ac
Δ = -62-4·(-24)·9
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-30}{2*-24}=\frac{-24}{-48}
=1/2
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+30}{2*-24}=\frac{36}{-48}
=-3/4
$