AMC 10 Step by Step
Log inSign up
Printable

2013 AMC 10B Problem 19

Include the solutionBack to the problem
2013 AMC 10B Problem 19AMC 10 Step by Step
Name:                             Date: September 13, 2026
Quadratics · difficulty 4 of 5 · about 6 min · position P16-20

The real numbers c,b,ac,b,a form an arithmetic sequence with a≥b≥c≥0a\ge b\ge c\ge 0 . The quadratic ax2+bx+cax^2+bx+c has exactly one root. What is this root?

  1. A)

    −7−43-7-4\sqrt{3}

  2. B)

    −2−3-2-\sqrt{3}

  3. C)

    −1-1

  4. D)

    −2+3-2+\sqrt{3}

  5. E)

    −7+43-7+4\sqrt{3}

Working