5/3m-1=2/m

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Solution for 5/3m-1=2/m equation:


D( m )

m = 0

m = 0

m = 0

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

(5/3)*m-1 = 2/m // - 2/m

(5/3)*m-(2/m)-1 = 0

(5/3)*m-2*m^-1-1 = 0

5/3*m^1-2*m^-1-1*m^0 = 0

(5/3*m^2-1*m^1-2*m^0)/(m^1) = 0 // * m^2

m^1*(5/3*m^2-1*m^1-2*m^0) = 0

m^1

(5/3)*m^2-m-2 = 0

(5/3)*m^2-m-2 = 0

DELTA = (-1)^2-(-2*4*(5/3))

DELTA = 43/3

DELTA > 0

m = ((43/3)^(1/2)+1)/(2*(5/3)) or m = (1-(43/3)^(1/2))/(2*(5/3))

m = 3/10*((43/3)^(1/2)+1) or m = 3/10*(1-(43/3)^(1/2))

m in { 3/10*(1-(43/3)^(1/2)), 3/10*((43/3)^(1/2)+1)}

m in { 3/10*(1-(43/3)^(1/2)), 3/10*((43/3)^(1/2)+1) }

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