(5a-4)=(a+16)/(a+1)

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Solution for (5a-4)=(a+16)/(a+1) equation:


D( a )

a+1 = 0

a+1 = 0

a+1 = 0

a+1 = 0 // - 1

a = -1

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

5*a-4 = (a+16)/(a+1) // - (a+16)/(a+1)

5*a-((a+16)/(a+1))-4 = 0

(-1*(a+16))/(a+1)+5*a-4 = 0

(-1*(a+16))/(a+1)+(5*a*(a+1))/(a+1)+(-4*(a+1))/(a+1) = 0

5*a*(a+1)-1*(a+16)-4*(a+1) = 0

5*a^2+4*a-4*a-16-4 = 0

5*a^2-20 = 0

(5*a^2-20)/(a+1) = 0

(5*a^2-20)/(a+1) = 0 // * a+1

5*a^2-20 = 0

5*a^2 = 20 // : 5

a^2 = 4

a^2 = 4 // ^ 1/2

abs(a) = 2

a = 2 or a = -2

a in { 2, -2 }

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