8k^2-20k=0

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Solution for 8k^2-20k=0 equation: 



8k^2-20k=0

a = 8; b = -20; c = 0;
Δ = b2-4ac
Δ = -202-4·8·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$


$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-20}{2*8}=\frac{0}{16}
=0
$


$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+20}{2*8}=\frac{40}{16}
=2+1/2
$

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