N^2+n/2=465

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N^2+n/2=465^{
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We have a quadratic equation of the form n^2+n/2-465=0. the solution of the quadratic is x=(-b±√(b^2-4*a*c))/2*a. the values will be a= 1; b= 1/2; c= -465. plugging this values we reach:

n= (-1/2±43.13)/2.

solve for n1 with plus sign and for n2 with the minus sign.

N^2 + n/2 + 465

2N^2 + N - 930= 0

N = -1/4 ±√(1+7440)/4

= -1/4 ±86.26/4 =

= - 21. 82, 21.31

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