9x2+24x-4=0

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Solution for 9x2+24x-4=0 equation:



9x^2+24x-4=0
a = 9; b = 24; c = -4;
Δ = b2-4ac
Δ = 242-4·9·(-4)
Δ = 720
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:
$\sqrt{\Delta}=\sqrt{720}=\sqrt{144*5}=\sqrt{144}*\sqrt{5}=12\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-12\sqrt{5}}{2*9}=\frac{-24-12\sqrt{5}}{18} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+12\sqrt{5}}{2*9}=\frac{-24+12\sqrt{5}}{18} $

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