Question

if a+1/a=3 then a²+1/a²=​

Answer 1

$\huge{\mathcal{\blue{Answer}}}$

$(a + \frac{1}{a} ) {}^{2} = a {}^{2} + \frac{1}{a {}^{2} } + 2(a)( \frac{1}{a} ) \\ (3) {}^{2} = a {}^{2} + \frac{1}{a {}^{2} } + 2 \\ a {}^{2} + \frac{1}{a {}^{2} } = 7$