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atroni [7]
3 years ago
5

For what non-zero value of x,

Mathematics
1 answer:
prisoha [69]3 years ago
4 0

Answer:

  • d) 1/(4p²)

Step-by-step explanation:

<u>Let's complete the square first:</u>

  • p⁴ - 2p²x² + x⁴ + x =
  • p⁴ + 2p²x² + x⁴ - 4p²x² + x =
  • (p² + x²)² - (4p²x² - x)

<u>In order the expression above to be a perfect square, we need:</u>

  • 4p²x² - x = 0

<u>Solve it for x:</u>

  • 4p²x² = x
  • 4p²x = 1
  • x = 1/(4p²)

Correct choice is d

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