Math, asked by sarikamorzaria, 2 months ago

IF X+1/X = 11, FIND THE VALUE OF X^2+1^2/X^2

Answers

Answered by farhaanaarif84
0

Answer:

Given, x+

x

1

=11.

We know, (a+b)

2

=a

2

+b

2

+2ab.

Then, x+

x

1

=11.

On squaring both sides, we get,

(x+

x

1

)

2

=11

2

x

2

+(

x

1

)

2

+2(x)(

x

1

)=121

x

2

+(

x

1

)

2

+2=121

x

2

+

x

2

1

=121−2=119.

Therefore, option C is correct.

Answered by akshayanand2104
0

Step-by-step explanation:

Given -

  • x + 1/x = 11

To Find -

  • Value of x² + 1/x²

Now,

→ x + 1/x = 11

Squaring both sides :-

→ (x + 1/x)² = (11)²

→ x² + 1/x² + 2×x×1/x = 121

→ x² + 1/x² + 2 = 121

→ x² + 1/x² = 121 - 2

→ x² + 1/x² = 119

Hence,

The value of x² + 1/x² is 119

Source - https://brainly.in/question/17984456

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