180n-360/n=350

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Solution for 180n-360/n=350 equation:


D( n )

n = 0

n = 0

n = 0

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

180*n-(360/n) = 350 // - 350

180*n-(360/n)-350 = 0

180*n-360*n^-1-350 = 0

180*n^1-360*n^-1-350*n^0 = 0

(180*n^2-350*n^1-360*n^0)/(n^1) = 0 // * n^2

n^1*(180*n^2-350*n^1-360*n^0) = 0

n^1

180*n^2-350*n-360 = 0

180*n^2-350*n-360 = 0

DELTA = (-350)^2-(-360*4*180)

DELTA = 381700

DELTA > 0

n = (381700^(1/2)+350)/(2*180) or n = (350-381700^(1/2))/(2*180)

n = (10*3817^(1/2)+350)/360 or n = (350-10*3817^(1/2))/360

n in { (350-10*3817^(1/2))/360, (10*3817^(1/2)+350)/360}

n in { (350-10*3817^(1/2))/360, (10*3817^(1/2)+350)/360 }

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