Question

if x+1/x = 2
then find the value of x2 + 1/x2​

Answer 1

Answer:

find the value of x2 + 1/x2

Answer 2

Answer:

• The value of x^2 +1/x^2 = 2.

Step-by-step explanation:

Given:

• x+1/x = 2

To Find:

• The value of x^2 +1/x^2

Solution:

Here,x+1/x = 2 is given and we are said to find the value of x^2 +1/x^2 from using this value.

$\: \: \sf \: {x}^{2} + \frac{1}{ {x}^{2} }$

As we know,

(a +b)^2 = (a +b) ^2 - 2ab

Now, substitute the value

$\: \: \sf \: {(x + \frac{1}{x} ) }^{2} - 2. \cancel x. \frac{ 1}{ \cancel x} \\ \\ \: \: \sf \: {(2)}^{2} - 2 \\ \\ \: \sf \: 4 - 2 \\ \\ \: \sf \leadsto2$

Hence, the value of (x^2 +1/x^2) is 2.