15n^2-5n=0

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Solution for 15n^2-5n=0 equation: 



15n^2-5n=0

a = 15; b = -5; c = 0;
Δ = b2-4ac
Δ = -52-4·15·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$


$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-5}{2*15}=\frac{0}{30}
=0
$


$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+5}{2*15}=\frac{10}{30}
=1/3
$

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