9v2+28v+3=0

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Solution for 9v2+28v+3=0 equation:



9v^2+28v+3=0
a = 9; b = 28; c = +3;
Δ = b2-4ac
Δ = 282-4·9·3
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28)-26}{2*9}=\frac{-54}{18} =-3 $
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+26}{2*9}=\frac{-2}{18} =-1/9 $

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