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Course: Class 10 > Unit 2

Lesson 4: Nature of roots
Math
Class 10
Quadratic equations
Nature of roots
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Equations with equal roots (advanced)

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Problem

The product of the roots of the equation x2+6x−k=0 is −8.
The quadratic equation 2x2+px+k=0 has two equal roots and p>0.
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