Answer :

Answer: [tex]x=\pm \sqrt{39}[/tex]

Step-by-step explanation:

[tex]8^{2}=5^{2}+x^{2}\\8^{2}-5^{2}=x^{2}\\64-25=x^{2}\\39=x^{2}\\x=\pm \sqrt{39}[/tex]