Question

if X + 1/x= 9 and x -1/X =6, then find the value of x⁴-1 /x⁴ ( explain)​

Answer 1

Answer:

x⁴-1/x⁴ = 4266

Step-by-step explanation:

x⁴-1/x⁴

= (x²+1/x²)(x²-1/x²)

= (x²+1/x²)(x+1/x)(x-1/x)

= 79*9*6

= 4266

x+1/x = 9

=> (x+1/x)² = 81

=> x²+1/x²+2*x*1/x = 81

=> x²+1/x²+2 = 81

=> x²+1/x² = 79

using formula x²-y² = (x+y)(x-y)

(x+y)² = x²+y²+2xy