Question

x+1/x=5 find the value of x2+1/x2

Answer 1

( x + 1 /x ) = 5

( x + 1 / x )^2 = 25

= x^2 + 1 / x^2 + 2 * x * 1/x =25

= x ^2 + 1/x^2 + 2 = 25

= X^2 + 1 / x^2 = 25 - 2 = 23 Ans .

Answer 2

Given : Value of (x) + (1/x) = 5

To find : Value of (x²) + (1/x²)

Solution :

We can simply solve this mathematical problem by using the following mathematical process.

Here, we will be using algebraic formulas to solve this mathematical problem.

Now,

(x) + (1/x) = 5

[(x) + (1/x)]² = (5)² [Squaring both sides]

(x)²+(1/x)² + (2 × x × 1/x) = 25

(x²) + (1/x²) = 25-2

(x²) + (1/x²) = 23

(This will be considered as the final result, because our required term has been arrived on the LHS of the above mentioned equation.)

Hence, the value of (x²) + (1/x²) is 23