AMC 10 Step by Step
Log inSign up
Printable

2005 AMC 10B Problem 16

Include the solutionBack to the problem
2005 AMC 10B Problem 16AMC 10 Step by Step
Name:                             Date: September 13, 2026
Quadratics · difficulty 3 of 5 · about 3 min · position P16-20

The quadratic equation x2+mx+nx^2+mx+n has roots twice those of x2+px+mx^2+px+m , and none of m,n,m,n, and pp is zero. What is the value of n/pn/p ?

  1. A)

    1{{{1}}}

  2. B)

    2{{{2}}}

  3. C)

    4{{{4}}}

  4. D)

    8{{{8}}}

  5. E)

    16{{{16}}}

Working