3/(2X+1)=X+1

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Solution for 3/(2X+1)=X+1 equation:


D( X )

2*X+1 = 0

2*X+1 = 0

2*X+1 = 0

2*X+1 = 0 // - 1

2*X = -1 // : 2

X = -1/2

X in (-oo:-1/2) U (-1/2:+oo)

3/(2*X+1) = X+1 // - X+1

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

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

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

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

2-2*X^2-3*X = 0

2-2*X^2-3*X = 0

2-2*X^2-3*X = 0

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

DELTA = 25

DELTA > 0

X = (25^(1/2)+3)/(-2*2) or X = (3-25^(1/2))/(-2*2)

X = -2 or X = 1/2

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

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

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

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

( X+2 )

X+2 = 0 // - 2

X = -2

( X-1/2 )

X-1/2 = 0 // + 1/2

X = 1/2

X in { -2, 1/2 }

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