3x/(x^2-9)+2/(x-3)

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Solution for 3x/(x^2-9)+2/(x-3) equation:


D( x )

x-3 = 0

x^2-9 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x^2-9 = 0

x^2-9 = 0

1*x^2 = 9 // : 1

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

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

(3*x)/(x^2-9)+2/(x-3) = 0

(3*x*(x-3))/((x^2-9)*(x-3))+(2*(x^2-9))/((x^2-9)*(x-3)) = 0

3*x*(x-3)+2*(x^2-9) = 0

5*x^2-9*x-18 = 0

5*x^2-9*x-18 = 0

5*x^2-9*x-18 = 0

DELTA = (-9)^2-(-18*4*5)

DELTA = 441

DELTA > 0

x = (441^(1/2)+9)/(2*5) or x = (9-441^(1/2))/(2*5)

x = 3 or x = -6/5

(x+6/5)*(x-3) = 0

((x+6/5)*(x-3))/((x^2-9)*(x-3)) = 0

((x+6/5)*(x-3))/((x^2-9)*(x-3)) = 0 // * (x^2-9)*(x-3)

(x+6/5)*(x-3) = 0

( x+6/5 )

x+6/5 = 0 // - 6/5

x = -6/5

( x-3 )

x-3 = 0 // + 3

x = 3

x in { 3}

x = -6/5

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