z=2x+1/x+3

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Solution for z=2x+1/x+3 equation: 


D( x )

x = 0

x = 0

x = 0

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

z = 2*x+1/x+3 // - 2*x+1/x+3

z-(2*x)-(1/x)-3 = 0

z-2*x-x^-1-3 = 0

-2*x^1-1*x^-1-3*x^0 = 0

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

x^1*(-2*x^2-3*x^1-1*x^0) = 0

x^1

-2*x^2-3*x-1 = 0

-2*x^2-3*x-1 = 0

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

DELTA = 1

DELTA > 0

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

x = -1 or x = -1/2

x in { -1, -1/2} 

x in { -1, -1/2 }

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