Michigan State University - Diagnostic Exam

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4.9

  •   Which of the following describes the x-intercepts of the quadratic equation y = 3x2 - 4x + 1?
    1. They do not exist.
    2. Two distinct integers.
    3. One real number.
    4. Two distinct rational numbers.
    5. Two distinct irrational numbers.

Solution:

2 3x-4x + 1 = (3x - 1)(x - 1) . It follows that the x-intercepts are 1- 1, 3 , i.e., two distinct rational numbers.

Diagnostic:

If you miss this question please review x-intercepts.

Also, see 4.5: Quadratic Equations .

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July 15, 2008