If $k - \frac{3}{k} = 5,$ then what is the value of $k^2 + \frac{9}{k^2}$ ?
Answer & explanation
Correct answer: option 1
If $k - \frac{3}{k} = 5,$
then what is the value of $k^2 + \frac{9}{k^2}$= ?
We know that,
If x - \(\frac{1}{x}\) = n
then, x2 + \(\frac{1}{x^2}\) = n2 + 2
If $k - \frac{3}{k} = 5,$
then, $k^2 + \frac{9}{k^2}$ = 52 + 2 × 3 = 31