5/3=a+3/a+1

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Solution for 5/3=a+3/a+1 equation:


D( a )

a = 0

a = 0

a = 0

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

5/3 = a+3/a+1 // - a+3/a+1

5/3-a-(3/a)-1 = 0

5/3-a-3*a^-1-1 = 0

2/3*a^0-1*a^1-3*a^-1 = 0

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

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

a^1

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

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

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

DELTA = -104/9

DELTA < 0

a in { }

a belongs to the empty set

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