Question

x+(1/x)=5, then x²+(1/x²)= ?
25
10
23
27​

Answer 1

Answer:

x²+(1/x²)=23

Explanation:

x+(1/x)=5

now, squaring both the sides

we get,

[x+(1/x)]²=(5)²

[since (a+b)²= a²+b²+2ab]

x² + 1/x² + 2*x*1/x = 25

x² + 1/x² +2*1 = 25

x² + 1/x² + 2 = 25

THEREFORE

x² + 1/x² = 25 - 2

x² + 1/x² = 23 ans.