n+6/n=35/4

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Solution for n+6/n=35/4 equation: 


D( n )

n = 0

n = 0

n = 0

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

n+6/n = 35/4 // - 35/4

n+6/n-(35/4) = 0

n+6/n-35/4 = 0

1*n^1+6*n^-1-35/4*n^0 = 0

(1*n^2-35/4*n^1+6*n^0)/(n^1) = 0 // * n^2

n^1*(1*n^2-35/4*n^1+6*n^0) = 0

n^1

n^2+(-35/4)*n+6 = 0

n^2+(-35/4)*n+6 = 0

DELTA = (-35/4)^2-(1*4*6)

DELTA = 841/16

DELTA > 0

n = ((841/16)^(1/2)-(-35/4))/(1*2) or n = (-(-35/4)-(841/16)^(1/2))/(1*2)

n = 8 or n = 3/4

n in { 3/4, 8} 

n in { 3/4, 8 }

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