The discriminant of x^2 - 5x + 6 = 0 is:

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Multiple Choice

The discriminant of x^2 - 5x + 6 = 0 is:

Explanation:
The discriminant tells you how many real solutions a quadratic has and whether they’re distinct. For a quadratic ax^2 + bx + c = 0, the discriminant is b^2 - 4ac. If it’s positive, you get two distinct real roots; if zero, a repeated root; if negative, you get complex roots. Here, a = 1, b = -5, c = 6. Compute b^2 - 4ac = (-5)^2 - 4(1)(6) = 25 - 24 = 1. Since the discriminant is 1 (positive), there are two distinct real roots. The actual roots are x = [5 ± sqrt(1)]/2 = 2 and 3, so the discriminant value is 1.

The discriminant tells you how many real solutions a quadratic has and whether they’re distinct. For a quadratic ax^2 + bx + c = 0, the discriminant is b^2 - 4ac. If it’s positive, you get two distinct real roots; if zero, a repeated root; if negative, you get complex roots.

Here, a = 1, b = -5, c = 6. Compute b^2 - 4ac = (-5)^2 - 4(1)(6) = 25 - 24 = 1. Since the discriminant is 1 (positive), there are two distinct real roots. The actual roots are x = [5 ± sqrt(1)]/2 = 2 and 3, so the discriminant value is 1.

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