n+3/n=8/2

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Solution for n+3/n=8/2 equation: 


D( n )

n = 0

n = 0

n = 0

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

n+3/n = 8/2 // - 8/2

n+3/n-(8/2) = 0

n+3/n-4 = 0

1*n^1+3*n^-1-4*n^0 = 0

(1*n^2-4*n^1+3*n^0)/(n^1) = 0 // * n^2

n^1*(1*n^2-4*n^1+3*n^0) = 0

n^1

n^2-4*n+3 = 0

n^2-4*n+3 = 0

DELTA = (-4)^2-(1*3*4)

DELTA = 4

DELTA > 0

n = (4^(1/2)+4)/(1*2) or n = (4-4^(1/2))/(1*2)

n = 3 or n = 1

n in { 1, 3} 

n in { 1, 3 }

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