5/m=8/2m-6

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Solution for 5/m=8/2m-6 equation:


D( m )

m = 0

m = 0

m = 0

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

5/m = (8/2)*m-6 // - (8/2)*m-6

5/m-((8/2)*m)+6 = 0

5/m-4*m+6 = 0

5*m^-1-4*m^1+6*m^0 = 0

(6*m^1-4*m^2+5*m^0)/(m^1) = 0 // * m^2

m^1*(6*m^1-4*m^2+5*m^0) = 0

m^1

6*m-4*m^2+5 = 0

6*m-4*m^2+5 = 0

DELTA = 6^2-(-4*4*5)

DELTA = 116

DELTA > 0

m = (116^(1/2)-6)/(-4*2) or m = (-116^(1/2)-6)/(-4*2)

m = (2*29^(1/2)-6)/(-8) or m = (-2*29^(1/2)-6)/(-8)

m in { (2*29^(1/2)-6)/(-8), (-2*29^(1/2)-6)/(-8)}

m in { (2*29^(1/2)-6)/(-8), (-2*29^(1/2)-6)/(-8) }

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