The sum of twice a number and thrice its reciprocal is 25/2. What is the number?
Let the number be $$x$$
According to ques, => $$2x + \frac{3}{x} = \frac{25}{2}$$
=> $$\frac{2x^2 + 3}{x} = \frac{25}{2}$$
=> $$4x^2 + 6 = 25x$$
=> $$4x^2 - 25x + 6 = 0$$
=> $$4x^2 - 24x - x + 6 = 0$$
=> $$4x(x - 6) - 1(x - 6) = 0$$
=> $$(4x - 1)(x - 6) = 0$$
=> $$x = 6 , \frac{1}{4}$$
=> Ans - (B)
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