Question 59

If $$(a+\frac{1}{a})^2=3$$, then the value of $$a^2+\frac{1}{a^2}$$ will be

Solution

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Expression : $$(a+\frac{1}{a})^2=3$$

= $$a^2+\frac{1}{a^2}+2(a)(\frac{1}{a})=3$$

=> $$a^2+\frac{1}{a^2}+2=3$$

=> $$a^2+\frac{1}{a^2}=3-2=1$$

=> Ans - (B)

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