180(n-2)=360/n

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


D( n )

n = 0

n = 0

n = 0

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

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

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

180*(n-2)-360*n^-1 = 0

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

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

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

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

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

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

n^2-2*n-2 = 0

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

DELTA = 12

DELTA > 0

n = (12^(1/2)+2)/(1*2) or n = (2-12^(1/2))/(1*2)

n = (2*3^(1/2)+2)/2 or n = (2-2*3^(1/2))/2

180*(n-((2-2*3^(1/2))/2))*(n-((2*3^(1/2)+2)/2)) = 0

(180*(n-((2-2*3^(1/2))/2))*(n-((2*3^(1/2)+2)/2)))/n = 0

(180*(n-((2-2*3^(1/2))/2))*(n-((2*3^(1/2)+2)/2)))/n = 0 // * n

180*(n-((2-2*3^(1/2))/2))*(n-((2*3^(1/2)+2)/2)) = 0

( n-((2*3^(1/2)+2)/2) )

n-((2*3^(1/2)+2)/2) = 0 // + (2*3^(1/2)+2)/2

n = (2*3^(1/2)+2)/2

( n-((2-2*3^(1/2))/2) )

n-((2-2*3^(1/2))/2) = 0 // + (2-2*3^(1/2))/2

n = (2-2*3^(1/2))/2

n in { (2*3^(1/2)+2)/2, (2-2*3^(1/2))/2 }

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