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

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


D( a )

a = 0

a-5 = 0

a = 0

a = 0

a-5 = 0

a-5 = 0

a-5 = 0 // + 5

a = 5

a in (-oo:0) U (0:5) U (5:+oo)

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

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

5/(a-5)-(a/(a-5))-a^-1 = 0

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

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

5*a-1*(a-5)-1*a^2 = 0

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

4*a-a^2+5 = 0

4*a-a^2+5 = 0

4*a-a^2+5 = 0

DELTA = 4^2-(-1*4*5)

DELTA = 36

DELTA > 0

a = (36^(1/2)-4)/(-1*2) or a = (-36^(1/2)-4)/(-1*2)

a = -1 or a = 5

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

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

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

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

( a+1 )

a+1 = 0 // - 1

a = -1

( a-5 )

a-5 = 0 // + 5

a = 5

a in { 5}

a = -1

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