Question

if x + 1/x = 5 , find the value of x square + 1/x square and x^4 + 1/x^4​

Answer 1

Answer:

x+ 1/x=5

(x+ 1/x)²=x²+ 1/x²+2(x)(1/x)

(5)²=x²+1/x²+2

25=x² +1/x²+2

x²+1/x²=23

(x² +1/x²)²=x⁴+1/x⁴+2(x²)(1/x²)

(23)²=x⁴+1/x⁴+2

529=x⁴+ 1/x⁴+2

x⁴ +1/x⁴=527

hope it helps you and don't forget to follow me