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

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Solution for -((3)/(x+1))+(2-x)/(x) equation: 


D( x )

x = 0

x+1 = 0

x = 0

x = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:0) U (0:+oo)

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

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

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

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

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

2-x^2-2*x = 0

2-x^2-2*x = 0

2-x^2-2*x = 0

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

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

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

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