1.

The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root?

Answer»

8



Let the NUMBER be x. Then,

x + 1/x = 34/8 

8x2 - 34X + 8 = 0 

4x2 - 17X + 4 = 0 

(4x - 1)(x - 4) = 0 

x = 4

required number = 4 * √4 = 4 * 2 = 8.



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