Question

pls answer the questions ​

Answer 1

EXPLANATION.

⇒ (x² + 1/x²) = 34.

As we know that,

Formula of :

⇒ (a + b)² = a² + b² + 2ab.

Using this formula in the equation, we get.

⇒ (x + 1/x)² = (x)² + (1/x)² + 2(x)(1/x).

⇒ (x + 1/x)² = x² + 1/x² + 2.

Put the values of (x² + 1/x²) = 34 in the equation, we get.

⇒ (x + 1/x)² = 34 + 2.

⇒ (x + 1/x)² = 36.

⇒ (x + 1/x) = √36.

⇒ (x + 1/x) = ± 6.

Answer 2

Given Data :

x² + 1/x² = 34

To Find :

value of x + 1/x

Solution :

by using, (a + b)² = a² + b² + 2ab

⇒ (x + 1/x)² = x² + 1/x² + 2(x)(1/x)

⇒ (x + 1/x)² = 34 + 2

⇒ (x + 1/x)² = 36

⇒ (x + 1/x) = ±√36

⇒ x + 1/x = ±6