3n^2-75n=0

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Solution for 3n^2-75n=0 equation: 



3n^2-75n=0

a = 3; b = -75; c = 0;
Δ = b2-4ac
Δ = -752-4·3·0
Δ = 5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5625}=75$


$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-75}{2*3}=\frac{0}{6}
=0
$


$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+75}{2*3}=\frac{150}{6}
=25
$

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