3/n=3n/10

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Solution for 3/n=3n/10 equation:


D( n )

n = 0

n = 0

n = 0

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

3/n = (3*n)/10 // - (3*n)/10

3/n-((3*n)/10) = 0

(-3/10)*n+3/n = 0

3*n^-1-3/10*n^1 = 0

(3*n^0-3/10*n^2)/(n^1) = 0 // * n^2

n^1*(3*n^0-3/10*n^2) = 0

n^1

(-3/10)*n^2+3 = 0

(-3/10)*n^2+3 = 0

DELTA = 0^2-(3*4*(-3/10))

DELTA = 18/5

DELTA > 0

n = ((18/5)^(1/2)+0)/(2*(-3/10)) or n = (0-(18/5)^(1/2))/(2*(-3/10))

n = -5/3*(18/5)^(1/2) or n = 5/3*(18/5)^(1/2)

n in { -5/3*(18/5)^(1/2), 5/3*(18/5)^(1/2)}

n in { -5/3*(18/5)^(1/2), 5/3*(18/5)^(1/2) }

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