Question

if x is equal to 10 - 3 √ 11 find the value of x square + 1/ x^2

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Answer 1

Answer:

398

Step-by-step explanation:

x = 10-3√11

=> 1/x = 1/(10-3√11)

= 10+3√11

=> (x+1/x) = (10-3√11)+(10+3√11)

= 20

therefore, x²+1/x²

= (x+1/x)²-2×x×1/x

= 20²-2

= 398