16b^2+24b+5=0

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Solution for 16b^2+24b+5=0 equation:



16b^2+24b+5=0
a = 16; b = 24; c = +5;
Δ = b2-4ac
Δ = 242-4·16·5
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-16}{2*16}=\frac{-40}{32} =-1+1/4 $
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+16}{2*16}=\frac{-8}{32} =-1/4 $

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