Question

If x- 1/x =3 then what is the value of x^2 + 1/x^2 ?​

Answer 1

EXPLANATION.

⇒ x - 1/x = 3.

As we know that,

Squaring the equation on both sides, we get.

⇒ (x - 1/x)² = (3)².

⇒ (x² + 1/x² - 2(x)(1/x)) = 9.

⇒ x² + 1/x² - 2 = 9.

⇒ x² + 1/x² = 9 + 2.

⇒ x² + 1/x² = 11.

Answer 2

11

Step-by-step explanation:

Given:

• x-1/x = 3

We need to find:

• The value of x²+1/x²

Identity that we are going to use:

• (a-b)² = a²+b²-2ab

Solution:

⠀⠀ ➠(x-1/x)² = x²+1/x²-2×x×1/x

⠀⠀ ➠(x-1/x)² = x²+1/x²-2

⠀⠀ ➠3² = x²+1/x²-2

⠀⠀ ➠9 = x²+1/x²-2

⠀⠀ ➠9+2 = x²+1/x²

⠀⠀ ➠x²+1/x² = 11

Hence, Solved!

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