(180(n-2))=15(360/n)

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Solution for (180(n-2))=15(360/n) equation:


D( n )

n = 0

n = 0

n = 0

n in (-oo:0) U (0:+oo)

180*(n-2) = 15*(360/n) // - 15*(360/n)

180*(n-2)-(15*(360/n)) = 0

180*(n-2)-5400*n^-1 = 0

180*(n-2)-5400/n = 0

(180*n*(n-2))/n-5400/n = 0

180*n*(n-2)-5400 = 0

180*n^2-360*n-5400 = 0

180*n^2-360*n-5400 = 0

180*(n^2-2*n-30) = 0

n^2-2*n-30 = 0

DELTA = (-2)^2-(-30*1*4)

DELTA = 124

DELTA > 0

n = (124^(1/2)+2)/(1*2) or n = (2-124^(1/2))/(1*2)

n = (2*31^(1/2)+2)/2 or n = (2-2*31^(1/2))/2

180*(n-((2-2*31^(1/2))/2))*(n-((2*31^(1/2)+2)/2)) = 0

(180*(n-((2-2*31^(1/2))/2))*(n-((2*31^(1/2)+2)/2)))/n = 0

(180*(n-((2-2*31^(1/2))/2))*(n-((2*31^(1/2)+2)/2)))/n = 0 // * n

180*(n-((2-2*31^(1/2))/2))*(n-((2*31^(1/2)+2)/2)) = 0

( n-((2*31^(1/2)+2)/2) )

n-((2*31^(1/2)+2)/2) = 0 // + (2*31^(1/2)+2)/2

n = (2*31^(1/2)+2)/2

( n-((2-2*31^(1/2))/2) )

n-((2-2*31^(1/2))/2) = 0 // + (2-2*31^(1/2))/2

n = (2-2*31^(1/2))/2

n in { (2*31^(1/2)+2)/2, (2-2*31^(1/2))/2 }

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