Question

Please find the answer

Answer 1

Answer:

x^3 + 1/x^3 = 488

Step-by-step explanation:

• x^2 + 1/x^2 = 62
• x^2 + 1/x^2 + 2 = 64
• ( adding 2 in both sides )
• (x + 1/x ) ^2 = 64
• x + 1/x = 8

now,

• ( x+ 1/x ) ^ 3 = 512
• x^3 + 1/x^3 + 3 × x × 1/x ( x + 1/x )
• x^3 + 1/x^3 + 3 ( 8 )
• ( since x + 1/x = 8 )
• x^3 + 1/x^3 + 24 = 512
• x^3 + 1/x^3 = 488

hence, we got x^3 + 1/x^3 = 488