Question

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Answer 1

Answer:

25

Step-by-step explanation:

We have to find the value of (a + 1/a)²

We know the identity (a + b)² = a² + 2ab + b²

(a + 1/a)² = (a²) + 2a(1/a)+ b² (a and 1/a cancel out to give 1)

= a² + b² + 2 (Putting value of a² + b², we get)

= 23 + 2

= 25

Answer 2

a²+1/a²=23

using (a+b)²=a²+b²+2ab

(a+1/a)²=a²+1/a²+2(a)(1/a)

(a+1/a)²=23+2 (as a²+1/a²=23)

(a+1/a)²=25

(a+1/a)=√25

a+1/a=5