Question

Old answer the 31st question

Answer 1

Answer:

the values of the question are 62 , 3842 respectively

Step-by-step explanation:

as we know that

( x + 1/x ) ² = x² + 1/x² +2

putting x = 4 - √15

so

( 4 - √15 + (4 + √15) / 1 )² - 2 = x² + 1/x²

8² - 2 = x² + 1/x²

x² + 1/x² = 62

now again , as

( x² + 1/x² )² = x⁴ + 1/x⁴ + 2

so

62² - 2 = x⁴ + 1/x⁴

3842 = x⁴ + 1/x⁴