2n2+n-528=0

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Solution for 2n2+n-528=0 equation:



2n^2+n-528=0
a = 2; b = 1; c = -528;
Δ = b2-4ac
Δ = 12-4·2·(-528)
Δ = 4225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4225}=65$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-65}{2*2}=\frac{-66}{4} =-16+1/2 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+65}{2*2}=\frac{64}{4} =16 $

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