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# Five times of a positive integer is equal to 3 less than twice the square of that number. Find the number.

 A) 3 B) 13 C) 23 D) 33

 A) 3

Description for Correct answer:

Let the number be x.

According to the question,

$$\Large 5x = 2x^{2} - 3$$

=> $$\Large 2x^{2} - 5x - 3 = 0$$

=> $$\Large \left(x-3\right) \left(2x+1\right) = 0$$

$$\Large x = 3, -\frac{1}{2}$$

Thus, the required number is 3.

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