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

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Solution for 3+x/(x-3)(x+3)=0 equation:


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

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

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

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

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

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

x^2+6*x-9 = 0

x^2+6*x-9 = 0

x^2+6*x-9 = 0

DELTA = 6^2-(-9*1*4)

DELTA = 72

DELTA > 0

x = (72^(1/2)-6)/(1*2) or x = (-72^(1/2)-6)/(1*2)

x = (6*2^(1/2)-6)/2 or x = (-6*2^(1/2)-6)/2

(x-((-6*2^(1/2)-6)/2))*(x-((6*2^(1/2)-6)/2)) = 0

((x-((-6*2^(1/2)-6)/2))*(x-((6*2^(1/2)-6)/2)))/(x-3) = 0

((x-((-6*2^(1/2)-6)/2))*(x-((6*2^(1/2)-6)/2)))/(x-3) = 0 // * x-3

(x-((-6*2^(1/2)-6)/2))*(x-((6*2^(1/2)-6)/2)) = 0

( x-((-6*2^(1/2)-6)/2) )

x-((-6*2^(1/2)-6)/2) = 0 // + (-6*2^(1/2)-6)/2

x = (-6*2^(1/2)-6)/2

( x-((6*2^(1/2)-6)/2) )

x-((6*2^(1/2)-6)/2) = 0 // + (6*2^(1/2)-6)/2

x = (6*2^(1/2)-6)/2

x in { (-6*2^(1/2)-6)/2, (6*2^(1/2)-6)/2 }

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