n-(1/n)=15/4

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Solution for n-(1/n)=15/4 equation: 


D( n )

n = 0

n = 0

n = 0

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

n-(1/n) = 15/4 // - 15/4

n-(1/n)-(15/4) = 0

n-n^-1-15/4 = 0

1*n^1-1*n^-1-15/4*n^0 = 0

(1*n^2-15/4*n^1-1*n^0)/(n^1) = 0 // * n^2

n^1*(1*n^2-15/4*n^1-1*n^0) = 0

n^1

n^2+(-15/4)*n-1 = 0

n^2+(-15/4)*n-1 = 0

DELTA = (-15/4)^2-(-1*1*4)

DELTA = 289/16

DELTA > 0

n = ((289/16)^(1/2)-(-15/4))/(1*2) or n = (-(-15/4)-(289/16)^(1/2))/(1*2)

n = 4 or n = -1/4

n in { -1/4, 4} 

n in { -1/4, 4 }

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