Question

if a-1/a=-6, find the value of a^2+1/a^2​

Answer 1

Step-by-step explanation:

If x + 1/x = 5, find the value of x2 + 1/x2

Given :

( x + 1 /x ) = 5

We need to find x2 + 1 / x2

( x + 1 / x )2 = 25

= x2 + 1 / x2 + 2 (x)(1/x) = 25

= x2 + 1/x2 + 2 = 25

= x2 + 1 / x2 = 25 – 2

= x2 + 1 / x2=23

Hence x2 + 1 / x2 = 23

Given: a = √2 + 1 1 a = 1 ( √ 2 + 1 ) 1a=1(2+1) = 1 ( √ 2 + 1 ) =1(2+1) x ( √ 2 − 1 ) ( √ 2 − 1 ) (2−1)(2−1) = ( √ 2 − 1 ) ( ( √ 2 ) 2 − ( 1 ) 2 ) =(2−1)((2)2−(1)2) = ( √ 2 − 1 ) 1 =(2−1)1 = √ 2 − 1 =2−1 Now, a − 1 a a−1a = (√2 + 1) – (√2 – 1) = √2 + 1 - √2 + 1 = 2Read more on Sarthaks.com - https://www.sarthaks.com/603483/if-a-2-1-then-find-the-value-of-a-1-a

Answer 2

Answer:

a-1= -6a

a+6a=1

7a=1

a=1/7

1/49+49

1+2401

_____

49

2402/49