Question

if x²+1/x²=23, find the value of X+1/x​

Answer 1

Answer:

We have x²+1/x²=23

Adding 2 both sides,

x²+1/x²+2=23+2

x²+1/x²+2.x.1/x=25

Now we are applying identity 1:(a+b)²=a²+2ab+b²

Thus we have (x+1/x)²=25

Taking square root both sides,

Hence+1/x=√25

x+1/x=5