Q4 of 27 Page 97

Can the sum of a number and its reciprocal be ? Why?

Let the number be x


Then reciprocal of number is


If reciprocal number, added to the number itself


Then;


(x + ) = = 1


∴ comparing both



⇒ 2x2 + 2 = 3x


2x2–3x + 2 = 0


As comparing eq to ax2 + bx + c = 0


x =


x =


⇒ Both values of x comes with non-real number


Their can’t be negative sign in square root


∴ this number cannot be possible


Conclusion/Result. This type of number cannot be possible


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