Determine the Value of x in a Quadratic Equation

Hard Problem Solving Algebra

What is the value of the variable $x$ if $x$ satisfies the equation?

Statement (1): $2x^2 - 8x + 6 = 0$ has real roots.

Statement (2): The sum of the solutions of the equation $x^2 - 10x + 24 = 0$ is less than 10.

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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