n+1/n=10/3

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Solution for n+1/n=10/3 equation: 


D( n )

n = 0

n = 0

n = 0

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

n+1/n = 10/3 // - 10/3

n+1/n-(10/3) = 0

n+1/n-10/3 = 0

1*n^1+1*n^-1-10/3*n^0 = 0

(1*n^2-10/3*n^1+1*n^0)/(n^1) = 0 // * n^2

n^1*(1*n^2-10/3*n^1+1*n^0) = 0

n^1

n^2+(-10/3)*n+1 = 0

n^2+(-10/3)*n+1 = 0

DELTA = (-10/3)^2-(1*1*4)

DELTA = 64/9

DELTA > 0

n = ((64/9)^(1/2)-(-10/3))/(1*2) or n = (-(-10/3)-(64/9)^(1/2))/(1*2)

n = 3 or n = 1/3

n in { 1/3, 3} 

n in { 1/3, 3 }

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