What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = x2 − 4x + 5, and what does it mean about the number of real solutions the equation has?

For 0 = x² − 4x + 5, the coefficients are a = 1, b = −4, and c = 5. The discriminant is b² − 4ac = (−4)² − 4(1)(5) = 16 − 20 = −4. Because the discriminant is negative, the equation has no real solutions, so the correct choice is “The discriminant is −4, so the equation has no real solutions.”

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