What is the value of the discriminant of the quadratic equation negative 2 x squared is equal to negative 8 x plus 8 , and what does its value mean about the number of real number solutions the equation has?

Write the equation in standard form: −2x² + 8x − 8 = 0, so a = −2, b = 8, and c = −8. The discriminant is b² − 4ac = 8² − 4(−2)(−8) = 64 − 64 = 0. A discriminant of 0 means the quadratic has one real solution, so the correct choice is C, “the discriminant is equal to 0, which means the equation has one real number solution.”

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