If $a - \frac{24}{a} = 5, $ where a > 0, then the value of $a^2 +\frac{64}{a^2}$ is :

45 56 60 65

65

If $a - \frac{24}{a} = 5, $ where a > 0, then the value of $a^2 +\frac{64}{a^2}$ Put the value of a = 8 (This value will satisfy the given equation) = $a^2 +\frac{64}{a^2}$  = $8^2 +\frac{64}{8^2}$  = $a^2 +\frac{64}{a^2}$  = 64 + 1 = 65