Question

5) if (x + 1/x) = 3, find the value of i) (xsquare + 1/xsquare) and ii) (xpower4 + 1/xpower4)​

Answer 1

Answer:

1)9

2)81

these are the correct answer

Answer 2

Step-by-step explanation:

x+1/x=3

squaring both sides and applying a+b whole square on lhs

x²+1/x²+2(x) ×(1/x) =9

x²+1/x²+2= 9

x²+1/x²=9-2

x²+1/x²=7

x²+1/x²=7

squaring both sides and applying a+b whole square on lhs

x⁴+1/x⁴+2(x²) (1/x²) =49

x⁴+1/x⁴= 49-2

x⁴+1/x⁴=47