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

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Solution for (8/a+5)=-(2/a+5)+(5a-4/a+5) equation:


D( a )

a = 0

a = 0

a = 0

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

8/a+5 = 5*a-(2/a)-(4/a)-5+5 // - 5*a-(2/a)-(4/a)-5+5

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

8/a-5*a+2/a+4/a-5+5+5 = 0

14*a^-1-5*a^1+5*a^0 = 0

(5*a^1-5*a^2+14*a^0)/(a^1) = 0 // * a^2

a^1*(5*a^1-5*a^2+14*a^0) = 0

a^1

5*a-5*a^2+14 = 0

5*a-5*a^2+14 = 0

DELTA = 5^2-(-5*4*14)

DELTA = 305

DELTA > 0

a = (305^(1/2)-5)/(-5*2) or a = (-305^(1/2)-5)/(-5*2)

a = (305^(1/2)-5)/(-10) or a = (305^(1/2)+5)/10

a in { (305^(1/2)-5)/(-10), (305^(1/2)+5)/10}

a in { (305^(1/2)-5)/(-10), (305^(1/2)+5)/10 }

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