8/m=m/20

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Solution for 8/m=m/20 equation:


D( m )

m = 0

m = 0

m = 0

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

8/m = m/20 // - m/20

8/m-(m/20) = 0

8*m^-1-1/20*m^1 = 0

(8*m^0-1/20*m^2)/(m^1) = 0 // * m^2

m^1*(8*m^0-1/20*m^2) = 0

m^1

(-1/20)*m^2+8 = 0

(-1/20)*m^2+8 = 0

DELTA = 0^2-(4*8*(-1/20))

DELTA = 8/5

DELTA > 0

m = ((8/5)^(1/2)+0)/(2*(-1/20)) or m = (0-(8/5)^(1/2))/(2*(-1/20))

m = -10*(8/5)^(1/2) or m = 10*(8/5)^(1/2)

m in { -10*(8/5)^(1/2), 10*(8/5)^(1/2)}

m in { -10*(8/5)^(1/2), 10*(8/5)^(1/2) }

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