Question

X2+1/x2=7 find the value of x+1/x

Answer 1

Step-by-step explanation:

Given that

x2 + 1/x2 =7

Add '2' on both sides

x2 + 1/x2 + 2 = 7+2

x2 + 1/x2 + 2 x2 × 1/x2 = 9

As per the formula i.e.

(a+b)2 = a2 + b2 + 2ab

(x+1/x)2 = 9

(x+1/x) = √9

(x+1/x) = 3