5n^2-60n=0

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Solution for 5n^2-60n=0 equation:



5n^2-60n=0
a = 5; b = -60; c = 0;
Δ = b2-4ac
Δ = -602-4·5·0
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-60}{2*5}=\frac{0}{10} =0 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+60}{2*5}=\frac{120}{10} =12 $

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