4n-15/n

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Solution for 4n-15/n equation: 


D( n )

n = 0

n = 0

n = 0

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

4*n-(15/n) = 0

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

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

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

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

n^1

4*n^2-15 = 0

4*n^2-15 = 0

DELTA = 0^2-(-15*4*4)

DELTA = 240

DELTA > 0

n = (240^(1/2)+0)/(2*4) or n = (0-240^(1/2))/(2*4)

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

n in { (-15^(1/2))/2, (1*15^(1/2))/2} 

n in { (-15^(1/2))/2, (1*15^(1/2))/2 }

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