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Finding the unknown through sum and product of roots (advanced)

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Problem

The equation px215x+9=0 has two distinct roots, α and β.
Also, α=4β.
Find the value of p.
p=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
Stuck?
Stuck?