Question

if x=1/4-x then find x^3+1/x^3​

Answer 1

Answer:

Hi !!!

Step-by-step explanation:

Given,

x = 1/4 - x

Question,

x + 1/x³

= (1/4-x)³ + 1/(1/4-x)³

= 1/48 - x³ + 1/(1/48 - x³)

= 1/48 - x³ + 48 - x³

= 1/48 - x³ + (48×48)/(1×48) - x³ ( take LCM for 48)

= 1/48 - 2x³ + 2303/48

= 2304/48 - 2x³

= 48 - 2x³

Therefore,

The answer is 48 - 2x³

hope this helps you !!

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