(X+6)/(X-4)=X

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Solution for (X+6)/(X-4)=X equation: 


D( X )

X-4 = 0

X-4 = 0

X-4 = 0

X-4 = 0 // + 4

X = 4

X in (-oo:4) U (4:+oo)

(X+6)/(X-4) = X // - X

(X+6)/(X-4)-X = 0

(X+6)/(X-4)+(-X*(X-4))/(X-4) = 0

X-X*(X-4)+6 = 0

5*X-X^2+6 = 0

5*X-X^2+6 = 0

5*X-X^2+6 = 0

DELTA = 5^2-(-1*4*6)

DELTA = 49

DELTA > 0

X = (49^(1/2)-5)/(-1*2) or X = (-49^(1/2)-5)/(-1*2)

X = -1 or X = 6

(X+1)*(X-6) = 0

((X+1)*(X-6))/(X-4) = 0

((X+1)*(X-6))/(X-4) = 0 // * X-4

(X+1)*(X-6) = 0

( X+1 )

X+1 = 0 // - 1

X = -1

( X-6 )

X-6 = 0 // + 6

X = 6

X in { -1, 6 }

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