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Question

If the equation x2px+216=0 has one root as a square of the other, find the value of p


  1. 30

  2. 36

  3. 42

  4. -30


Solution

The correct option is C

42


Let the roots of the equation be α,α2
α X α2 = 216 [product of roots]
α3 = 216
or
α=6
6, 36 are the roots
P = 36 are the roots
=42

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