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

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Solution for 2-(5/2a)=(2a)/(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)

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

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

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

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

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

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

4*a-5*a^2-9*a+4 = 0

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

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

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

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

DELTA = 105

DELTA > 0

a = (105^(1/2)+5)/(-5*2) or a = (5-105^(1/2))/(-5*2)

a = (105^(1/2)+5)/(-10) or a = (5-105^(1/2))/(-10)

(a-((105^(1/2)+5)/(-10)))*(a-((5-105^(1/2))/(-10))) = 0

((a-((105^(1/2)+5)/(-10)))*(a-((5-105^(1/2))/(-10))))/(2*(a+1)) = 0

((a-((105^(1/2)+5)/(-10)))*(a-((5-105^(1/2))/(-10))))/(2*(a+1)) = 0 // * 2*(a+1)

(a-((105^(1/2)+5)/(-10)))*(a-((5-105^(1/2))/(-10))) = 0

( a-((105^(1/2)+5)/(-10)) )

a-((105^(1/2)+5)/(-10)) = 0 // + (105^(1/2)+5)/(-10)

a = (105^(1/2)+5)/(-10)

( a-((5-105^(1/2))/(-10)) )

a-((5-105^(1/2))/(-10)) = 0 // + (5-105^(1/2))/(-10)

a = (5-105^(1/2))/(-10)

a in { (105^(1/2)+5)/(-10), (5-105^(1/2))/(-10) }

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