[tex] {(5 + \sqrt{24} )}^{ {x}^{2 } - 2 } +( {5 - \sqrt{24} }^{ {x }^{2} - 2} = 10[/tex]
find x
Share
[tex] {(5 + \sqrt{24} )}^{ {x}^{2 } - 2 } +( {5 - \sqrt{24} }^{ {x }^{2} - 2} = 10[/tex]
find x
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Answer:
[tex] ({5 + \sqrt{24} })^{ {x}^{2} - 2 } + ( {5 - \sqrt{24} })^{ {x}^{2} - 2 } = 10 \\ \\ = > {10}^{ {x}^{2} - 2} = 10 \\ \\ = > {x}^{2} - 2 = 1 \\ \\ = > {x}^{2} = 3 \\ \\ = > x = \sqrt{3} [/tex]
answer writen in above is the correct