6k^2-30k=0

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Solution for 6k^2-30k=0 equation: 



6k^2-30k=0

a = 6; b = -30; c = 0;
Δ = b2-4ac
Δ = -302-4·6·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$


$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-30}{2*6}=\frac{0}{12}
=0
$


$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+30}{2*6}=\frac{60}{12}
=5
$

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