4x^2+32x-8=0

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Solution for 4x^2+32x-8=0 equation:



4x^2+32x-8=0
a = 4; b = 32; c = -8;
Δ = b2-4ac
Δ = 322-4·4·(-8)
Δ = 1152
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:
$\sqrt{\Delta}=\sqrt{1152}=\sqrt{576*2}=\sqrt{576}*\sqrt{2}=24\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-24\sqrt{2}}{2*4}=\frac{-32-24\sqrt{2}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+24\sqrt{2}}{2*4}=\frac{-32+24\sqrt{2}}{8} $

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