College Algebra CLEP Prep Practice Exam

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Question: 1 / 50

What is the discriminant of the equation x2 - 10x + 21 = 0?

0

10

21

100

The discriminant is the part of the quadratic formula that is under the square root sign, given by b^2 - 4ac for an equation in the form ax^2 + bx + c = 0. In this case, the equation x2 - 10x + 21 = 0 has a discriminant of 100, which is larger than the other options listed. This means that there are two distinct real solutions to this quadratic equation. Option A is incorrect because a discriminant of 0 would mean that there is only one real solution. Option B is incorrect because b, the coefficient of the x term, is equal to -10, not 10. Option C is incorrect because c, the constant term, is equal to 21, not the discriminant. Therefore, option D, with a discriminant of 100, is the correct answer.