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How many solutions are present in the equation 5x2 - 17x + 2 = 0?

  1. 0

  2. 1

  3. 2

  4. 3

The correct answer is: 2

The equation in this question is a quadratic equation in the form of ax^2 + bx + c = 0 where a = 5, b = -17, and c = 2. One way to determine the number of solutions in a quadratic equation is by using the discriminant, which is the expression under the square root in the quadratic formula. In this equation, the discriminant is 17^2 - 4(5)(2) = 289 - 40 = 249. Since the discriminant is positive and not a perfect square, this indicates that there are two distinct solutions for x. This eliminates options A, B, and D because they only have 0, 1, and 3 as solutions respectively. Therefore, the correct answer is C.