3 years ago

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:

Let's complete the square first:

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

In order the expression above to be a perfect square, we need:

4p²x² - x = 0

Solve it for x:

4p²x² = x
4p²x = 1
x = 1/(4p²)

Correct choice is d

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