5/(a-2)=-4/a+1

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Solution for 5/(a-2)=-4/a+1 equation:


D( a )

a-2 = 0

a = 0

a-2 = 0

a-2 = 0

a-2 = 0 // + 2

a = 2

a = 0

a = 0

a in (-oo:0) U (0:2) U (2:+oo)

5/(a-2) = 1-4/a // - 1-4/a

5/(a-2)-(-4/a)-1 = 0

5/(a-2)+4*a^-1-1 = 0

5/(a-2)+4/a-1 = 0

(5*a)/(a*(a-2))+(4*(a-2))/(a*(a-2))+(-1*a*(a-2))/(a*(a-2)) = 0

4*(a-2)-1*a*(a-2)+5*a = 0

9*a-a^2+2*a-8 = 0

11*a-a^2-8 = 0

11*a-a^2-8 = 0

11*a-a^2-8 = 0

DELTA = 11^2-(-8*(-1)*4)

DELTA = 89

DELTA > 0

a = (89^(1/2)-11)/(-1*2) or a = (-89^(1/2)-11)/(-1*2)

a = (89^(1/2)-11)/(-2) or a = (89^(1/2)+11)/2

(a-((89^(1/2)-11)/(-2)))*(a-((89^(1/2)+11)/2)) = 0

((a-((89^(1/2)-11)/(-2)))*(a-((89^(1/2)+11)/2)))/(a*(a-2)) = 0

((a-((89^(1/2)-11)/(-2)))*(a-((89^(1/2)+11)/2)))/(a*(a-2)) = 0 // * a*(a-2)

(a-((89^(1/2)-11)/(-2)))*(a-((89^(1/2)+11)/2)) = 0

( a-((89^(1/2)+11)/2) )

a-((89^(1/2)+11)/2) = 0 // + (89^(1/2)+11)/2

a = (89^(1/2)+11)/2

( a-((89^(1/2)-11)/(-2)) )

a-((89^(1/2)-11)/(-2)) = 0 // + (89^(1/2)-11)/(-2)

a = (89^(1/2)-11)/(-2)

a in { (89^(1/2)+11)/2, (89^(1/2)-11)/(-2) }

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