Question

if x+1/x=3. then find x²-1/x²​

Answer 1

Answer:

2/3x is the answer ok is that right

Answer 2

Answer:

x+1/x=3

on squaring both the sides

(x+1/x)²=3²

x²+1/x²+2×x×1/x=9

x²+1/x²=9-2

x²+1/x²=7 (1st equation)

now again squaring both the sides

(x²+1/x²)²=7²

x⁴+1/x⁴+2×x²+1/x²=49

x⁴+1/x⁴=49-2

x⁴+1/x⁴=47(2nd equation)

x²-1/x²

squaring both the sides

(x²-1/x²)²

x⁴+1/x⁴-2×x²×1/x²

x⁴+1/x⁴-2

put value from 2nd equation

47-2

45