1/6=n-11/n

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Solution for 1/6=n-11/n equation:


D( n )

n = 0

n = 0

n = 0

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

1/6 = n-(11/n) // - n-(11/n)

11/n-n+1/6 = 0

11*n^-1-1*n^1+1/6*n^0 = 0

(1/6*n^1-1*n^2+11*n^0)/(n^1) = 0 // * n^2

n^1*(1/6*n^1-1*n^2+11*n^0) = 0

n^1

(1/6)*n-n^2+11 = 0

(1/6)*n-n^2+11 = 0

DELTA = (1/6)^2-(-1*4*11)

DELTA = 1585/36

DELTA > 0

n = ((1585/36)^(1/2)-(1/6))/(-1*2) or n = (-(1/6)-(1585/36)^(1/2))/(-1*2)

n = ((1585/36)^(1/2)-1/6)/(-2) or n = ((1585/36)^(1/2)+1/6)/2

n in { ((1585/36)^(1/2)-1/6)/(-2), ((1585/36)^(1/2)+1/6)/2}

n in { ((1585/36)^(1/2)-1/6)/(-2), ((1585/36)^(1/2)+1/6)/2 }

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