Question

${(5 + \sqrt{24} )}^{ {x}^{2 } - 2 } +( {5 - \sqrt{24} }^{ {x }^{2} - 2} = 10$
find x​

Answer 1

Answer:

$({5 + \sqrt{24} })^{ {x}^{2} - 2 } + ( {5 - \sqrt{24} })^{ {x}^{2} - 2 } = 10 \\ \\ = > {10}^{ {x}^{2} - 2} = 10 \\ \\ = > {x}^{2} - 2 = 1 \\ \\ = > {x}^{2} = 3 \\ \\ = > x = \sqrt{3}$

Answer 2

answer writen in above is the correct