2n^2-90n=0

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Solution for 2n^2-90n=0 equation:



2n^2-90n=0
a = 2; b = -90; c = 0;
Δ = b2-4ac
Δ = -902-4·2·0
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-90)-90}{2*2}=\frac{0}{4} =0 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-90)+90}{2*2}=\frac{180}{4} =45 $

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