Question

if a-3/a=15 find value of a2+9a2​

Answer 1

Step-by-step explanation:

$Given: \: \: a - \frac{3}{a} = 15 \\ squaring \: both \: sides : \\ a - (\frac{3}{a})^{2} = (15)^{2} \\ {a}^{2} - 2 \times a \times \frac{3}{a} + ({ \frac{3}{a} })^{2} = 225 \\ {a}^{2} - 6 + \frac{9}{a^{2} }= 225 \: \\ {a}^{2} + \frac{9}{a^{2} } = 225 + 6 \\ {a}^{2} + \frac{9}{a^{2} } = 231$