3/m-4+1/3(m-4)=6/m

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Solution for 3/m-4+1/3(m-4)=6/m equation: 


D( m )

m = 0

m = 0

m = 0

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

(1/3)*(m-4)+3/m-4 = 6/m // - 6/m

(1/3)*(m-4)+3/m-(6/m)-4 = 0

(1/3)*(m-4)+3/m-6*m^-1-4 = 0

1/3*(m-4)+3/m-6/m-4 = 0

(1/3*m*(m-4))/m+3/m-6/m+(-4*m)/m = 0

1/3*m*(m-4)-4*m-6+3 = 0

1/3*m^2-4/3*m-4*m-6+3 = 0

1/3*m^2-4/3*m-4*m-3 = 0

1/3*m^2-16/3*m-3 = 0

1/3*m^2-16/3*m-3 = 0

1/3*m^2-16/3*m-3 = 0

DELTA = (-16/3)^2-(-3*1/3*4)

DELTA = 292/9

DELTA > 0

m = ((292/9)^(1/2)+16/3)/(1/3*2) or m = (16/3-(292/9)^(1/2))/(1/3*2)

m = 3/2*((292/9)^(1/2)+16/3) or m = 3/2*(16/3-(292/9)^(1/2))

(m-3/2*(16/3-(292/9)^(1/2)))*(m-3/2*((292/9)^(1/2)+16/3)) = 0

((m-3/2*(16/3-(292/9)^(1/2)))*(m-3/2*((292/9)^(1/2)+16/3)))/m = 0

((m-3/2*(16/3-(292/9)^(1/2)))*(m-3/2*((292/9)^(1/2)+16/3)))/m = 0 // * m

(m-3/2*(16/3-(292/9)^(1/2)))*(m-3/2*((292/9)^(1/2)+16/3)) = 0

( m-3/2*((292/9)^(1/2)+16/3) )

m-3/2*((292/9)^(1/2)+16/3) = 0 // + -3/2*((292/9)^(1/2)+16/3)

m = -(-3/2*((292/9)^(1/2)+16/3))

m = 3/2*((292/9)^(1/2)+16/3)

( m-3/2*(16/3-(292/9)^(1/2)) )

m-3/2*(16/3-(292/9)^(1/2)) = 0 // + -3/2*(16/3-(292/9)^(1/2))

m = -(-3/2*(16/3-(292/9)^(1/2)))

m = 3/2*(16/3-(292/9)^(1/2))

m in { 3/2*((292/9)^(1/2)+16/3), 3/2*(16/3-(292/9)^(1/2)) }

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