1/n=n/14

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Solution for 1/n=n/14 equation: 


D( n )

n = 0

n = 0

n = 0

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

1/n = n/14 // - n/14

1/n-(n/14) = 0

1*n^-1-1/14*n^1 = 0

(1*n^0-1/14*n^2)/(n^1) = 0 // * n^2

n^1*(1*n^0-1/14*n^2) = 0

n^1

(-1/14)*n^2+1 = 0

(-1/14)*n^2+1 = 0

DELTA = 0^2-(1*4*(-1/14))

DELTA = 2/7

DELTA > 0

n = ((2/7)^(1/2)+0)/(2*(-1/14)) or n = (0-(2/7)^(1/2))/(2*(-1/14))

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

n in { -7*(2/7)^(1/2), 7*(2/7)^(1/2)} 

n in { -7*(2/7)^(1/2), 7*(2/7)^(1/2) }

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