Question

-16/x+2=x+2/-4

Answer 1

\(-\dfrac{16}{x+2}=\dfrac{x+2}{-4}\\ \Leftrightarrow\left(x+2\right)^2=\left(-16\right)\cdot\left(-4\right)\\ \Leftrightarrow\left(x+2\right)^2=64\\ \Leftrightarrow\left[{}\begin{matrix}x+2=8\\x+2=-8\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=6\\x=-10\end{matrix}\right.\)

Answer 2

- 16/x + 2 = x + 2/-4

=> (x + 2)² = (- 16) . (- 4)

=> (x + 2)² = 64

vậy x + 2 = 8 <=> x = 6

      x + 2 = - 8 <=> x = - 10

x = [6 ; - 10]

Answer 3

⇔(x+2)\(^2\)=(−16)⋅(−4)

⇔(x+2)\(^2\)=64

\(\left\{{}\begin{matrix}x +2=8\\x+2=-8\end{matrix}\right.\)

\(\left\{{}\begin{matrix}x=6\\x=-10\end{matrix}\right.\)

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