Question

If
$x + \frac{1}{x} = 5$
then ,

${x}^{2} + \frac{1}{ {x}^{2} } =$ ?
​

Answer 1

⏩Hey mate ❤

given here

$x + \frac{1}{x} = 5$

Find here

${x}^{2} + \frac{1}{ {x}^{2} } =$ ?

Solution :-

we know

(a+b)²=a²+2ab +b²

so,

(x+1/x)²

= x² + 1/x² + 2

=>(5)²= x²+1/x² +2

=.>x²+1/x²= 25-2

=>x²+1/x² = 23

⏩Hopes its help's u

@Abhi❤❤

Answer 2

Answer:

Heya Buddy ♥️♥️♥️.,Here, is your Solution:-:-:-:---

Step-by-step explanation:

We have,

x+1/x=5

So, Squaring on both sides,we get------

(x+1/x)²=5²

We know that,

(a+b)²=a²+b²+2ab

Therefore,

x²+1/x²+2 × x × 1/x=25

x²+1/x²+2=25

x²+1/x²=25-2

x²+1/x²=23Ans✓

Thanks..

Hope It's Help You.

Mark Me Brainliest..

Byeee Buddy ♥️♥️♥️

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