Question

if x =2+1/2+1, then then x² +1/x^3 is​

Answer 1

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if x =2+1/2+1, then then x² +1/x^3 is

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X + 1/x = 3…(i)

We know , (X+1/x)^2 = x^2 + (1/x)^2 + 2(x * 1/x)

=> (X+1/x)^2 = x^2 + (1/x)^2 + 2

Substituting value from (i) (3)^2 = x^2+(1/x)^2+2

= 9–2 = x^2+(1/x)^2

Ans. X^2 + (1/x)^2 = 7.

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Answer 2

Answer:

X + 1/x = 3...(i)

We know, (X+1/x)^2 = x^2 + (1/x)^2 + 2(x * 1/x) => (X+1/x)^2 = x^2 + (1/x)^2 + 2 Substituting value from (i) (3)^2 = x^2+(1/x)^2+2

= 9-2 = x^2+(1/x)^2

Ans. X^2 + (1/x)^2 = 7.