Question

if 4x² + 1/x² = 12, then find the value of 8x³ + 1/x³​

Answer 1

Answer:

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Answer 2

Answer:

x² + 1/4x² = 8

x² + (1/2x)² = 8

(x+1/2x)² = x² + (1/x)² + 2(x)(1/x)

(x+1/2x)² = 8+2

(x+1/2x)² = 10

(x+1/2x) = √10

x³ + 1/8x³ = x³ + (1/2x)³ X

= (x+1/2x) (x²+1/x²-(x)(1/x))

= √10 (8-1)

= √10(7)

= 7√10

Step-by-step explanation:

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