n-20/n=121/5

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Solution for n-20/n=121/5 equation: 


D( n )

n = 0

n = 0

n = 0

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

n-(20/n) = 121/5 // - 121/5

n-(20/n)-(121/5) = 0

n-20*n^-1-121/5 = 0

1*n^1-20*n^-1-121/5*n^0 = 0

(1*n^2-121/5*n^1-20*n^0)/(n^1) = 0 // * n^2

n^1*(1*n^2-121/5*n^1-20*n^0) = 0

n^1

n^2+(-121/5)*n-20 = 0

n^2+(-121/5)*n-20 = 0

DELTA = (-121/5)^2-(-20*1*4)

DELTA = 16641/25

DELTA > 0

n = ((16641/25)^(1/2)-(-121/5))/(1*2) or n = (-(-121/5)-(16641/25)^(1/2))/(1*2)

n = 25 or n = -4/5

n in { -4/5, 25} 

n in { -4/5, 25 }

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