(-1-a)/(2a-9)=2/a

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Solution for (-1-a)/(2a-9)=2/a equation:


D( a )

2*a-9 = 0

a = 0

2*a-9 = 0

2*a-9 = 0

2*a-9 = 0 // + 9

2*a = 9 // : 2

a = 9/2

a = 0

a = 0

a in (-oo:0) U (0:9/2) U (9/2:+oo)

(-a-1)/(2*a-9) = 2/a // - 2/a

(-a-1)/(2*a-9)-(2/a) = 0

(-a-1)/(2*a-9)-2*a^-1 = 0

(-a-1)/(2*a-9)-2/a = 0

(a*(-a-1))/(a*(2*a-9))+(-2*(2*a-9))/(a*(2*a-9)) = 0

a*(-a-1)-2*(2*a-9) = 0

18-a^2-5*a = 0

18-a^2-5*a = 0

18-a^2-5*a = 0

DELTA = (-5)^2-(-1*4*18)

DELTA = 97

DELTA > 0

a = (97^(1/2)+5)/(-1*2) or a = (5-97^(1/2))/(-1*2)

a = (97^(1/2)+5)/(-2) or a = (5-97^(1/2))/(-2)

(a-((97^(1/2)+5)/(-2)))*(a-((5-97^(1/2))/(-2))) = 0

((a-((97^(1/2)+5)/(-2)))*(a-((5-97^(1/2))/(-2))))/(a*(2*a-9)) = 0

((a-((97^(1/2)+5)/(-2)))*(a-((5-97^(1/2))/(-2))))/(a*(2*a-9)) = 0 // * a*(2*a-9)

(a-((97^(1/2)+5)/(-2)))*(a-((5-97^(1/2))/(-2))) = 0

( a-((5-97^(1/2))/(-2)) )

a-((5-97^(1/2))/(-2)) = 0 // + (5-97^(1/2))/(-2)

a = (5-97^(1/2))/(-2)

( a-((97^(1/2)+5)/(-2)) )

a-((97^(1/2)+5)/(-2)) = 0 // + (97^(1/2)+5)/(-2)

a = (97^(1/2)+5)/(-2)

a in { (5-97^(1/2))/(-2), (97^(1/2)+5)/(-2) }

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