Question

a2+1/a2 = 23 find the value of a3+1/a3​

Answer 1

Answer:

$\frac{ {a}^{2} + 1}{ {a}^{2} } = 23$

a²+1=23a²

1=23a²-a²

22a²=1

a=√(1/22)

$\frac{ {a}^{3} + 1}{ {a}^{3} }$

$\frac{ { \sqrt{ \frac{1}{22} } }^{3} + 1}{ { \sqrt{ \frac{1}{22} } }^{3} }$

$1 + \frac{1}{ { \sqrt{ \frac{1}{22} } }^{3} }$

$1 + \frac{1}{ \sqrt{ \frac{1}{22} } \sqrt{ \frac{1}{22} } \times \sqrt{ \frac{1}{22} } }$

$1 + \frac{1}{ \frac{1}{22} \sqrt{ \frac{1}{22} } }$

$1 + \frac{22}{ \frac{1}{ \sqrt{22} } }$

$1 + 22 \sqrt{22}$