Question

X+1/x=2 if x^7+1/x^7 हो तो 7 का मान क्या होगा

Answer 1

Answer :

x^7 + 1/x^7 = 2

Solution:

We have ;

=> x + 1/x = 2

=> (x² + 1)/x = 2

=> x² + 1 = 2x

=> x² + 1 - 2x = 0

=> x² - 2•x•1 + 1² = 0

=> (x - 1)² = 0

=> x - 1 = 0

=> x = 1

Thus,

x^7 + 1/x^7 = 1^7 + 1/1^7

= 1 + 1

= 2

Thus,

Required answer is 2 .

Moreover,

If x + 1/x = 2 , then

xⁿ + 1/xⁿ = 2 for every n € R .