Question

If x-1/x=√5 then find the value of x+1/x​= ?please help​

Answer 1

Answer:

3

Step-by-step explanation:

x-3 by identity. thank me later

Answer 2

Step-by-step explanation:

Given :-

x-(1/x) = √5

To find:-

Find the value of x+(1/x) ?

Solution:-

Given that :

x-(1/x) = √5

We know that

(a+b)² = (a-b)² +4ab

Put a = x and b = 1/x then

=> [x+(1/x)]² = [x-(1/x)]² + 4(x)(1/x)

=> [x+(1/x)]² = [x-(1/x)]² + 4

=> [x+(1/x)]² = (√5)² + 4

=> [x+(1/x)]² = 5+4

=> [x+(1/x)]² =9

=> x+(1/x) = ±√9

=> x+(1/x) = ±3

Answer:-

The value of x+(1/x) for the given problem is 3 or -3

Used formulae:-

• (a+b)² = (a-b)² +4ab