((x-1)/(x+2))-(1/x)=0

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Solution for ((x-1)/(x+2))-(1/x)=0 equation: 


D( x )

x+2 = 0

x = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x = 0

x = 0

x in (-oo:-2) U (-2:0) U (0:+oo)

(x-1)/(x+2)-(1/x) = 0

(x-1)/(x+2)-x^-1 = 0

(x-1)/(x+2)-1/x = 0

(x*(x-1))/(x*(x+2))+(-1*(x+2))/(x*(x+2)) = 0

x*(x-1)-1*(x+2) = 0

x^2-2*x-2 = 0

x^2-2*x-2 = 0

x^2-2*x-2 = 0

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

DELTA = 12

DELTA > 0

x = (12^(1/2)+2)/(1*2) or x = (2-12^(1/2))/(1*2)

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

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

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

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

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

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

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

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

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

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

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

x in { (2*3^(1/2)+2)/2, (2-2*3^(1/2))/2 }

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