(x-2)/(x+3)+(x+2)/(x-4)

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Solution for (x-2)/(x+3)+(x+2)/(x-4) equation:


D( x )

x-4 = 0

x+3 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:4) U (4:+oo)

(x-2)/(x+3)+(x+2)/(x-4) = 0

((x-2)*(x-4))/((x+3)*(x-4))+((x+2)*(x+3))/((x+3)*(x-4)) = 0

(x-2)*(x-4)+(x+2)*(x+3) = 0

2*x^2-x+14 = 0

2*x^2-x+14 = 0

2*x^2-x+14 = 0

DELTA = (-1)^2-(2*4*14)

DELTA = -111

DELTA < 0

1 = 0

1/((x+3)*(x-4)) = 0

1/((x+3)*(x-4)) = 0 // * (x+3)*(x-4)

1 = 0

x belongs to the empty set

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