Question

If (x – 1/x) = 15 , then find the value of (x2+ 1/x2)​

Answer 1

Answer:

227

Step-by-step explanation:

x-1/x = 15

(x-1/x)² = 15²

x²+1/x²-2 = 225

x²+1/x²=227

Answer 2

EXPLANATION.

⇒ (x - 1/x) = 15.

As we know that,

Formula of :

⇒ (a - b)² = a² + b² - 2ab.

Using this formula in this question, we get.

Squaring on both sides of the equation, we get.

⇒ (x - 1/x)² = (15)².

⇒ (x)² + (1/x)² - 2(x)(1/x) = 225.

⇒ x² + 1/x² - 2 = 225.

⇒ x² + 1/x² = 225 + 2.

⇒ x² + 1/x² = 227.

∴ The value of x² + 1/x² is 227.