3/(a-1)=1-2/(a)

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Solution for 3/(a-1)=1-2/(a) equation: 


D( a )

a-1 = 0

a = 0

a-1 = 0

a-1 = 0

a-1 = 0 // + 1

a = 1

a = 0

a = 0

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

3/(a-1) = 1-(2/a) // - 1-(2/a)

3/(a-1)+2/a-1 = 0

(3*a)/(a*(a-1))+(2*(a-1))/(a*(a-1))+(-1*a*(a-1))/(a*(a-1)) = 0

2*(a-1)-1*a*(a-1)+3*a = 0

5*a-a^2+a-2 = 0

6*a-a^2-2 = 0

6*a-a^2-2 = 0

6*a-a^2-2 = 0

DELTA = 6^2-(-2*(-1)*4)

DELTA = 28

DELTA > 0

a = (28^(1/2)-6)/(-1*2) or a = (-28^(1/2)-6)/(-1*2)

a = (2*7^(1/2)-6)/(-2) or a = (-2*7^(1/2)-6)/(-2)

(a-((2*7^(1/2)-6)/(-2)))*(a-((-2*7^(1/2)-6)/(-2))) = 0

((a-((2*7^(1/2)-6)/(-2)))*(a-((-2*7^(1/2)-6)/(-2))))/(a*(a-1)) = 0

((a-((2*7^(1/2)-6)/(-2)))*(a-((-2*7^(1/2)-6)/(-2))))/(a*(a-1)) = 0 // * a*(a-1)

(a-((2*7^(1/2)-6)/(-2)))*(a-((-2*7^(1/2)-6)/(-2))) = 0

( a-((-2*7^(1/2)-6)/(-2)) )

a-((-2*7^(1/2)-6)/(-2)) = 0 // + (-2*7^(1/2)-6)/(-2)

a = (-2*7^(1/2)-6)/(-2)

( a-((2*7^(1/2)-6)/(-2)) )

a-((2*7^(1/2)-6)/(-2)) = 0 // + (2*7^(1/2)-6)/(-2)

a = (2*7^(1/2)-6)/(-2)

a in { (-2*7^(1/2)-6)/(-2), (2*7^(1/2)-6)/(-2) }

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