Using the quadratic formula, what is the discriminant of the equation 2x^2 - 3x - 2 = 0?

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Multiple Choice

Using the quadratic formula, what is the discriminant of the equation 2x^2 - 3x - 2 = 0?

Explanation:
The discriminant tells you how many real solutions a quadratic has, and it’s given by b^2 - 4ac in ax^2 + bx + c = 0. For the equation at hand, a = 2, b = -3, c = -2. Compute b^2 - 4ac: (-3)^2 - 4*(2)*(-2) = 9 + 16 = 25. A positive discriminant means two distinct real roots, and the discriminant itself is 25.

The discriminant tells you how many real solutions a quadratic has, and it’s given by b^2 - 4ac in ax^2 + bx + c = 0. For the equation at hand, a = 2, b = -3, c = -2. Compute b^2 - 4ac: (-3)^2 - 4*(2)*(-2) = 9 + 16 = 25. A positive discriminant means two distinct real roots, and the discriminant itself is 25.

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