Question

So gia tri nguyen cua x thoa man : /x²-5/+/5-x²/=40

/.../ la gia tri tuyet doi.

Answer 1

\(|x^2-5|+|5-x^2|=40\)

\(\Leftrightarrow|x^2-5|+|x^2-5|=40\)

\(\Leftrightarrow2|x^2-5|=40\)

\(\Leftrightarrow|x^2-5|=20\)

\(\Leftrightarrow\orbr{\begin{cases}x^2-5=20\\x^2-5=-20\end{cases}}\Leftrightarrow\orbr{\begin{cases}x^2=25\\x^2=-15\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=5;-5\\x=\sqrt{-15}\end{cases}}\)

Mà \(x\in Z\) Nên \(x=5\) hoặc \(x=-5\)

Vậy có 2 giá trị x