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

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


D( m )

m = 0

m-1 = 0

m = 0

m = 0

m-1 = 0

m-1 = 0

m-1 = 0 // + 1

m = 1

m in (-oo:0) U (0:1) U (1:+oo)

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

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

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

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

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

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

m^2+2*m-4*m+m-18-1+4 = 0

m^2-2*m+m-14-1 = 0

m^2-m-15 = 0

m^2-m-15 = 0

m^2-m-15 = 0

DELTA = (-1)^2-(-15*1*4)

DELTA = 61

DELTA > 0

m = (61^(1/2)+1)/(1*2) or m = (1-61^(1/2))/(1*2)

m = (61^(1/2)+1)/2 or m = (1-61^(1/2))/2

(m-((1-61^(1/2))/2))*(m-((61^(1/2)+1)/2)) = 0

((m-((1-61^(1/2))/2))*(m-((61^(1/2)+1)/2)))/(m-1) = 0

((m-((1-61^(1/2))/2))*(m-((61^(1/2)+1)/2)))/(m-1) = 0 // * m-1

(m-((1-61^(1/2))/2))*(m-((61^(1/2)+1)/2)) = 0

( m-((1-61^(1/2))/2) )

m-((1-61^(1/2))/2) = 0 // + (1-61^(1/2))/2

m = (1-61^(1/2))/2

( m-((61^(1/2)+1)/2) )

m-((61^(1/2)+1)/2) = 0 // + (61^(1/2)+1)/2

m = (61^(1/2)+1)/2

m in { (1-61^(1/2))/2, (61^(1/2)+1)/2 }

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