Question

For what non-zero value of x,

Answer 1

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