-6n^2+54n=0

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Solution for -6n^2+54n=0 equation:



-6n^2+54n=0
a = -6; b = 54; c = 0;
Δ = b2-4ac
Δ = 542-4·(-6)·0
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(54)-54}{2*-6}=\frac{-108}{-12} =+9 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(54)+54}{2*-6}=\frac{0}{-12} =0 $

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