2a-5=4/a

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Solution for 2a-5=4/a equation: 


D( a )

a = 0

a = 0

a = 0

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

2*a-5 = 4/a // - 4/a

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

2*a-4*a^-1-5 = 0

2*a^1-4*a^-1-5*a^0 = 0

(2*a^2-5*a^1-4*a^0)/(a^1) = 0 // * a^2

a^1*(2*a^2-5*a^1-4*a^0) = 0

a^1

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

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

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

DELTA = 57

DELTA > 0

a = (57^(1/2)+5)/(2*2) or a = (5-57^(1/2))/(2*2)

a = (57^(1/2)+5)/4 or a = (5-57^(1/2))/4

a in { (5-57^(1/2))/4, (57^(1/2)+5)/4} 

a in { (5-57^(1/2))/4, (57^(1/2)+5)/4 }

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