What is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of real number solutions the equation has?

Write the equation in standard form: 5x² − 2x + 1 = 0, so a = 5, b = −2, and c = 1. The discriminant is b² − 4ac = (−2)² − 4(5)(1) = 4 − 20 = −16. A negative discriminant means there are no real number solutions, so the correct choice is “The discriminant is equal to −16, which means the equation has no real number solutions.”

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