Question

If x = 3 - √8 , find the value of x^3+1/ x^3​

Answer 1

Answer:

198

Step-by-step explanation:

x = 3 - √8

so, 1/x = 1/ 3-√8

⇒ 1/x = 3+√8/9 - 8

⇒1/x = 3+√8

So, x + 1/x = 6

⇒ (x + 1/x)³ = 216

⇒ x³ + 1/x³ + 3* x*1/x(x + 1/x) = 216

⇒x³ + 1/x³ + 3 * 6 = 216

⇒x³ + 1/x³ = 198

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