1.

If it is given that (x/3) + (3/x) = 1, find the value of [(x2 – 3x + 9)/(x2 - 3x)]?

Answer» Correct Answer - Option 1 : 0

Given:

(x/3) + (3/x) = 1

Calculation:

∵ (x/3) + (3/x) = 1

⇒ (x2 + 9)/3x = 1

⇒ x2 + 9 = 3x      ------(1)

Now, rearranging the given equation;

⇒ [(x2 + 9) – 3x]/(x2 - 3x)

⇒ (3x – 3x)/(x2 – x2 - 9)      ------(From 1)

⇒ 0


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