105/n=n1/2

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Solution for 105/n=n1/2 equation: 


D( n )

n = 0

n = 0

n = 0

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

105/n = (n^1)/2 // - (n^1)/2

105/n-((n^1)/2) = 0

105/n-(n/2) = 0

105*n^-1-1/2*n^1 = 0

(105*n^0-1/2*n^2)/(n^1) = 0 // * n^2

n^1*(105*n^0-1/2*n^2) = 0

n^1

(-1/2)*n^2+105 = 0

(-1/2)*n^2+105 = 0

DELTA = 0^2-(4*105*(-1/2))

DELTA = 210

DELTA > 0

n = (210^(1/2)+0)/(2*(-1/2)) or n = (0-210^(1/2))/(2*(-1/2))

n = -210^(1/2) or n = 210^(1/2)

n in { -210^(1/2), 210^(1/2)} 

n in { -210^(1/2), 210^(1/2) }

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