Solve 9th 2nd and 3rd 9 If, x+1x=4, find the values of: (ii) x-1x (iii) x3-1x3 - Maths - Expansions

Question

Solve 9th 2nd and 3rd

9 If, x + 1 x = 4 , find the values of:
(ii) x - 1 x
(iii) x 3 - 1 x 3

Bakul Biswas · Accepted Answer

Dear Student,
9
ii) given,x+1x=4⇒x+1x2=42⇒x-1x2+4×x×1x=16    a+b2=a-b2+4ab⇒x-1x2+4=16⇒x-1x2=16-4=12⇒x-1x=12=23iii) x3-1x3=x-1x3+3×x×1xx-1x    a3-b3=a-b3+3aba-b=123+312=14412+312=14712
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Solve 9th 2nd and 3rd 9. If, x + 1 x = 4 , find the values of: (ii) x - 1 x (iii) x 3 - 1 x 3

Solve 9th 2nd and 3rd

9. If, $(x + \frac{1}{x}) = 4$ , find the values of:
(ii) $(x - \frac{1}{x})$
(iii) $(x^{3} - \frac{1}{x^{3}})$