n-12/n+2=-5/9

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Solution for n-12/n+2=-5/9 equation:


D( n )

n = 0

n = 0

n = 0

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

n-(12/n)+2 = -5/9 // + -5/9

n-(12/n)-(-5/9)+2 = 0

n-12*n^-1+5/9+2 = 0

1*n^1-12*n^-1+23/9*n^0 = 0

(1*n^2+23/9*n^1-12*n^0)/(n^1) = 0 // * n^2

n^1*(1*n^2+23/9*n^1-12*n^0) = 0

n^1

n^2+(23/9)*n-12 = 0

n^2+(23/9)*n-12 = 0

DELTA = (23/9)^2-(-12*1*4)

DELTA = 4417/81

DELTA > 0

n = ((4417/81)^(1/2)-(23/9))/(1*2) or n = (-(23/9)-(4417/81)^(1/2))/(1*2)

n = ((4417/81)^(1/2)-23/9)/2 or n = (-((4417/81)^(1/2)+23/9))/2

n in { (-((4417/81)^(1/2)+23/9))/2, ((4417/81)^(1/2)-23/9)/2}

n in { (-((4417/81)^(1/2)+23/9))/2, ((4417/81)^(1/2)-23/9)/2 }

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