(X-2/(X+1)X-2)/(X+1)

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Solution for (X-2/(X+1)X-2)/(X+1) equation: 


D( X )

X+1 = 0

X+1 = 0

X+1 = 0

X+1 = 0 // - 1

X = -1

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

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

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

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

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

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

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

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

X^2-3*X-2 = 0

X^2-3*X-2 = 0

X^2-3*X-2 = 0

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

DELTA = 17

DELTA > 0

X = (17^(1/2)+3)/(1*2) or X = (3-17^(1/2))/(1*2)

X = (17^(1/2)+3)/2 or X = (3-17^(1/2))/2

(X-((3-17^(1/2))/2))*(X-((17^(1/2)+3)/2)) = 0

((X-((3-17^(1/2))/2))*(X-((17^(1/2)+3)/2)))/(X+1) = 0

((X-((3-17^(1/2))/2))*(X-((17^(1/2)+3)/2)))/(X+1) = 0 // * X+1

(X-((3-17^(1/2))/2))*(X-((17^(1/2)+3)/2)) = 0

((X-((3-17^(1/2))/2))*(X-((17^(1/2)+3)/2)))/(X+1) = 0

( X-((17^(1/2)+3)/2) )

X-((17^(1/2)+3)/2) = 0 // + (17^(1/2)+3)/2

X = (17^(1/2)+3)/2

( X-((3-17^(1/2))/2) )

X-((3-17^(1/2))/2) = 0 // + (3-17^(1/2))/2

X = (3-17^(1/2))/2

X in { (17^(1/2)+3)/2, (3-17^(1/2))/2 }

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