5n/n^2-25-7/2n-10

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Solution for 5n/n^2-25-7/2n-10 equation: 


D( n )

n^2 = 0

n^2 = 0

n^2 = 0

1*n^2 = 0 // : 1

n^2 = 0

n = 0

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

(5*n)/(n^2)-((7/2)*n)-25-10 = 0

(-7/2)*n+(5*n)/(n^2)-25-10 = 0

5*n^-1-7/2*n^1-35*n^0 = 0

(5*n^0-7/2*n^2-35*n^1)/(n^1) = 0 // * n^2

n^1*(5*n^0-7/2*n^2-35*n^1) = 0

n^1

(-7/2)*n^2-35*n+5 = 0

(-7/2)*n^2-35*n+5 = 0

DELTA = (-35)^2-(4*5*(-7/2))

DELTA = 1295

DELTA > 0

n = (1295^(1/2)+35)/(2*(-7/2)) or n = (35-1295^(1/2))/(2*(-7/2))

n = (1295^(1/2)+35)/(-7) or n = (35-1295^(1/2))/(-7)

n in { (1295^(1/2)+35)/(-7), (35-1295^(1/2))/(-7)} 

n in { (1295^(1/2)+35)/(-7), (35-1295^(1/2))/(-7) }

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