4/(x+1)-1/x=1

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Solution for 4/(x+1)-1/x=1 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)

4/(x+1)-(1/x) = 1 // - 1

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

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

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

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

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

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

2*x-x^2-1 = 0

2*x-x^2-1 = 0

2*x-x^2-1 = 0

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

DELTA = 0

x = -2/(-1*2)

x = 1 or x = 1

(x-1)^2 = 0

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

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

(x-1)^2 = 0

x-1 = 0 // + 1

x = 1

x in { 1, 1 }

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