Question

if x^2+1/x^2 = 7....


Find the values of
1. X+1/X
2. x - 1/X
3. 2x^2 - 2/x^2.



please help me ....​

Answer 1

Step-by-step explanation:

Given : x² + 1/x² = 7

(i)

It can be written as,

⇒ x² + 1/x² = 9 - 2

⇒ x² + 1/x² + 2 = 9

⇒ (x + 1/x)² = 9

(x + 1/x) = ±3

(ii)

Given Equation can be written as,

x² + 1/x² = 5 + 2

⇒ x² + 1/x² - 2 = 5

⇒ (x - 1/x)² = 5

(x - 1/x) = ±√5

(iii)

x² - 1/x²

⇒ (x + 1/x)(x - 1/x)

⇒ (3)(√5)

⇒ 3√5

Then,

(2x² - 2/x²)

= 2(x² - 1/x²)

= 2(3√5)

= 6√5

Hope it helps!

Answer 2

ANSWER⤵️⤵️

SEE HOPE IT HELPS!