Question

x+3/ x-3 -x-3/x+3 = 36/ x^2- 9

Answer 1

x + 3/x - 3 - x - 3/x + 3 = 36/x^2 - 9

<=>(x + 3)^2 - (x - 3)^2/(x - 3)(x + 3) = 36/x^2 - 9

<=>x^2 + 6x + 9 - x^2 + 6x - 9/x^2 - 9 = 36/x^2 - 9

<=>12x = 36 <=> x = 3

Answer 2

đk : x khác 3 ; -3 

\(\dfrac{\left(x+3\right)^2-\left(x-3\right)^2}{x^2-9}=\dfrac{36}{x^2-9}\Rightarrow x^2+6x+9-x^2+6x-9=36\)

\(\Leftrightarrow12x=36\Leftrightarrow x=3\)(ktmđk)

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