6m/(m-6)+2/m+4

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Solution for 6m/(m-6)+2/m+4 equation: 


D( m )

m = 0

m-6 = 0

m = 0

m = 0

m-6 = 0

m-6 = 0

m-6 = 0 // + 6

m = 6

m in (-oo:0) U (0:6) U (6:+oo)

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

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

2*(m-6)+4*m*(m-6)+6*m*m = 0

6*m^2+4*m^2+2*m-24*m-12 = 0

10*m^2-22*m-12 = 0

10*m^2-22*m-12 = 0

2*(5*m^2-11*m-6) = 0

5*m^2-11*m-6 = 0

DELTA = (-11)^2-(-6*4*5)

DELTA = 241

DELTA > 0

m = (241^(1/2)+11)/(2*5) or m = (11-241^(1/2))/(2*5)

m = (241^(1/2)+11)/10 or m = (11-241^(1/2))/10

2*(m-((11-241^(1/2))/10))*(m-((241^(1/2)+11)/10)) = 0

(2*(m-((11-241^(1/2))/10))*(m-((241^(1/2)+11)/10)))/(m*(m-6)) = 0

(2*(m-((11-241^(1/2))/10))*(m-((241^(1/2)+11)/10)))/(m*(m-6)) = 0 // * m*(m-6)

2*(m-((11-241^(1/2))/10))*(m-((241^(1/2)+11)/10)) = 0

( m-((11-241^(1/2))/10) )

m-((11-241^(1/2))/10) = 0 // + (11-241^(1/2))/10

m = (11-241^(1/2))/10

( m-((241^(1/2)+11)/10) )

m-((241^(1/2)+11)/10) = 0 // + (241^(1/2)+11)/10

m = (241^(1/2)+11)/10

m in { (11-241^(1/2))/10, (241^(1/2)+11)/10 }

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