Analyzing a Quadratic Equation

Hard Problem Solving Algebra

What is the value of the positive integer $x$ if $2x^2 - 8x + 6 = 0$?

Statement (1): The roots of the quadratic equation are integers.

Statement (2): $x$ is less than 5.

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

Both statements (1) and (2) together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

Statements (1) and (2) together are not sufficient.

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