2(3/x)=x+5

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Solution for 2(3/x)=x+5 equation:


D( x )

x = 0

x = 0

x = 0

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

2*(3/x) = x+5 // - x+5

2*(3/x)-x-5 = 0

6*x^-1-1*x^1-5*x^0 = 0

(6*x^0-1*x^2-5*x^1)/(x^1) = 0 // * x^2

x^1*(6*x^0-1*x^2-5*x^1) = 0

x^1

6-x^2-5*x = 0

6-x^2-5*x = 0

DELTA = (-5)^2-(-1*4*6)

DELTA = 49

DELTA > 0

x = (49^(1/2)+5)/(-1*2) or x = (5-49^(1/2))/(-1*2)

x = -6 or x = 1

x in { -6, 1}

x in { -6, 1 }

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