(x+3/2x+11)-(2/x+4)

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Solution for (x+3/2x+11)-(2/x+4) equation: 


D( x )

x = 0

x = 0

x = 0

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

x+(3/2)*x-(2/x)-4+11 = 0

x+(3/2)*x-2*x^-1-4+11 = 0

5/2*x^1-2*x^-1+7*x^0 = 0

(5/2*x^2+7*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(5/2*x^2+7*x^1-2*x^0) = 0

x^1

(5/2)*x^2+7*x-2 = 0

(5/2)*x^2+7*x-2 = 0

DELTA = 7^2-(-2*4*(5/2))

DELTA = 69

DELTA > 0

x = (69^(1/2)-7)/(2*(5/2)) or x = (-69^(1/2)-7)/(2*(5/2))

x = (69^(1/2)-7)/5 or x = (-(69^(1/2)+7))/5

x in { (-(69^(1/2)+7))/5, (69^(1/2)-7)/5} 

x in { (-(69^(1/2)+7))/5, (69^(1/2)-7)/5 }

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