21b^2+40b+16=0

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Solution for 21b^2+40b+16=0 equation:



21b^2+40b+16=0
a = 21; b = 40; c = +16;
Δ = b2-4ac
Δ = 402-4·21·16
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{-(40)-16}{2*21}=\frac{-56}{42} =-1+1/3 $
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+16}{2*21}=\frac{-24}{42} =-4/7 $

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