Question

if a-1/a=5 and a+1/a=5√29 find a²+1/a²=​

Answer 1

$a + \frac{1}{a} = 5 \sqrt{29} \\ \\ ( {a + \frac{1}{a} })^{2} = 725 \\ \\ {a}^{2} + \frac{1}{ {a}^{2} } + 2 = 725 \\ \\ {a}^{2} + \frac{1}{ {a}^{2} } = 723$