If \: \: a + (1)/(a) = 3 \: prove \: that \: {a}^(2) \frac{1}{ {a}^(2) } = 7 .....................

TomahawkPhant asked Jan 13, 2023

39,612 views

19 votes

$If \: \: a + (1)/(a) = 3 \: prove \: that \: {a}^(2) \frac{1}{ {a}^(2) } = 7$

.....................

TomahawkPhant asked Jan 13, 2023

2.6k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

11 votes

Answer -

a+1/a = 3 -----(1)

a²+1/a² = 7

By doing square of equation 1

(a+1/a)² = 9

a²+1/a²+ 2 ×a × 1/a = 9 using (a+b)²=a²+b²+2ab

a²+1/a²+2=9

a² + 1/a² = 9-2

a²+1/a²= 7 Ans.

Chivonne answered Jan 18, 2023

2.7k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers