a+1/a=6

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Solution for a+1/a=6 equation: 


D( a )

a = 0

a = 0

a = 0

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

a+1/a = 6 // - 6

a+1/a-6 = 0

1*a^1+1*a^-1-6*a^0 = 0

(1*a^2-6*a^1+1*a^0)/(a^1) = 0 // * a^2

a^1*(1*a^2-6*a^1+1*a^0) = 0

a^1

a^2-6*a+1 = 0

a^2-6*a+1 = 0

DELTA = (-6)^2-(1*1*4)

DELTA = 32

DELTA > 0

a = (32^(1/2)+6)/(1*2) or a = (6-32^(1/2))/(1*2)

a = (4*2^(1/2)+6)/2 or a = (6-4*2^(1/2))/2

a in { (6-4*2^(1/2))/2, (4*2^(1/2)+6)/2} 

a in { (6-4*2^(1/2))/2, (4*2^(1/2)+6)/2 }

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