x/x-2+x/x*2-4=x+3/x+2

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Solution for x/x-2+x/x*2-4=x+3/x+2 equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

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

-1*x^1-3*x^-1-5*x^0 = 0

(-1*x^2-5*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(-1*x^2-5*x^1-3*x^0) = 0

x^1

-x^2-5*x-3 = 0

-x^2-5*x-3 = 0

DELTA = (-5)^2-(-3*(-1)*4)

DELTA = 13

DELTA > 0

x = (13^(1/2)+5)/(-1*2) or x = (5-13^(1/2))/(-1*2)

x = (13^(1/2)+5)/(-2) or x = (5-13^(1/2))/(-2)

x in { (13^(1/2)+5)/(-2), (5-13^(1/2))/(-2)}

x in { (13^(1/2)+5)/(-2), (5-13^(1/2))/(-2) }

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