a+1/a=3

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Solution for a+1/a=3 equation: 


D( a )

a = 0

a = 0

a = 0

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

a+1/a = 3 // - 3

a+1/a-3 = 0

1*a^1+1*a^-1-3*a^0 = 0

(1*a^2-3*a^1+1*a^0)/(a^1) = 0 // * a^2

a^1*(1*a^2-3*a^1+1*a^0) = 0

a^1

a^2-3*a+1 = 0

a^2-3*a+1 = 0

DELTA = (-3)^2-(1*1*4)

DELTA = 5

DELTA > 0

a = (5^(1/2)+3)/(1*2) or a = (3-5^(1/2))/(1*2)

a = (5^(1/2)+3)/2 or a = (3-5^(1/2))/2

a in { (3-5^(1/2))/2, (5^(1/2)+3)/2} 

a in { (3-5^(1/2))/2, (5^(1/2)+3)/2 }

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