15n^2-6n=0

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Solution for 15n^2-6n=0 equation:



15n^2-6n=0
a = 15; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·15·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*15}=\frac{0}{30} =0 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*15}=\frac{12}{30} =2/5 $

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