Question

if x+1/x =√5 then x²+1/x²= ​

Answer 1

Solution

Given :-

• x + 1/x = √5 _________(1)

Find :-

• x² + 1/x²

Explanation

Using Formula,

$\boxed{\underline{\tt{\red{\:(a+b)^2\:=\:(a^2+b^2+2ab)}}}}$

Then, Squaring both side of equ(1)

➡(x + 1/x)² = √5²

➡x² + 1/x² + 2× x × 1/x = √5 × √5

➡x² + 1/x² = 5 - 2

➡x² + 1/x² = 3

Hence

• Value of x² + 1/x² will be = 3

_______________

Answer 2

Answer:

3

Step-by-step explanation:

x + 1/x = √5

sqaure both L.H.S and R.H.S

therefore,

x^2 +1/x^2 + 2 = 5

by solving tou will gt your answer : 3