Question

if x+1/x=root 7 then find the value of x^2+1/x^2

Answer 1

Step-by-step explanation:

,,,,,,,,,,,,,,,,#keep similing

Answer 2

Given:

x + 1/x = √7

To find out:

Find the value of x² + 1/x² ?

Solution:

We know that,

( a + b ) ² = a² + b² + 2ab

x + 1/x = √7

☆ Squaring both sides,we get

( x + 1/x )² = ( √7 )²

⇒ x² + 1/x² + 2 = 7

⇒ x² + 1/x² = 7 - 2

⇒ x² + 1/x² = 5

Hence, the value x² + 1/x² is 5 .

More identities

1.(a+b)²= a²+ b²+2ab

2.(a-b)²= a²-2ab +b²

3.(a+b)(a-b)= a²-b²

4.( a+b+c) = a+b+c+2ab+2ba+2ca

5. ( a + b )³ = a³ + b³ - 3ab( a + b )