Question 45

The sum of a non-zero number and thrice its reciprocal is 52/7. Find the number.

Solution

Let the number be $$x$$

According to ques, => $$x + \frac{3}{x} = \frac{52}{7}$$

=> $$\frac{x^2 + 3}{x} = \frac{52}{7}$$

=> $$7x^2 + 21 = 52x$$

=> $$7x^2 - 52x + 21 = 0$$

=> $$7x^2 - 49x - 3x + 21 = 0$$

=> $$7x(x - 7) - 3(x - 7) = 0$$

=> $$(7x - 3)(x - 7) = 0$$

=> $$x = 7 , \frac{3}{7}$$

=> Ans - (C)

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