(1/x+13)+(x+3/0,5x+3)=1

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Solution for (1/x+13)+(x+3/0,5x+3)=1 equation:


D( x )

x = 0

x = 0

x = 0

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

x+(3/0.5)*x+1/x+3+13 = 1 // - 1

x+(3/0.5)*x+1/x-1+3+13 = 0

7*x^1+1*x^-1+15*x^0 = 0

(7*x^2+15*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(7*x^2+15*x^1+1*x^0) = 0

x^1

7*x^2+15*x+1 = 0

7*x^2+15*x+1 = 0

DELTA = 15^2-(1*4*7)

DELTA = 197

DELTA > 0

x = (197^(1/2)-15)/(2*7) or x = (-197^(1/2)-15)/(2*7)

x = (197^(1/2)-15)/14 or x = (-(197^(1/2)+15))/14

x in { (-(197^(1/2)+15))/14, (197^(1/2)-15)/14}

x in { (-(197^(1/2)+15))/14, (197^(1/2)-15)/14 }

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