20k^2+39k=0

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Solution for 20k^2+39k=0 equation:



20k^2+39k=0
a = 20; b = 39; c = 0;
Δ = b2-4ac
Δ = 392-4·20·0
Δ = 1521
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1521}=39$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(39)-39}{2*20}=\frac{-78}{40} =-1+19/20 $
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(39)+39}{2*20}=\frac{0}{40} =0 $

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