Question

if x2 +1/x^(2)=102 then x-1/x=?

Answer 1

★ Hey mate ★

here is your answer !!!


( x - 1 / x )² = x² + 1 / x² - 2


=>( x - 1 / x)² = 102 -2


=>( x -1 / x )² = 100

=> x - 1 / x = ±10


hence , your answer is ★ ± 10 ★


hope it helps you dear !!!


thanks !!!

Answer 2

Answer:

± 10.

Step-by-step explanation:

Given:- The given expression is x² + ( 1/x² ) = 102.

To Find:- Value of x - ( 1/x ).

Solution:-

As we know, (a - b)² = a² + b² - 2ab.

The given expression is x² + ( 1/x² ) = 102.

⇒ (x - 1/x)² = x² + ( 1/x² ) - 2 × x × (1/x)

⇒ (x - 1/x)² = 102 - 2        [ ∵ x² + ( 1/x² ) = 102 ]

⇒ (x - 1/x)² = 100

⇒ (x - 1/x) = √100

⇒ (x - 1/x) = ± 10              [ ∵ 100 = 2 × 2 × 5 × 5]

Therefore, the value of x - 1/x = +10 or -10.

#SPJ3

View similar concept based question in the link below

https://brainly.in/question/722601

https://brainly.in/question/5328761