Question

Use the method of completing the square to transform the quadratic equation into the equation form (x – p)^2 = q.

Answer 1

                             x⁴ - 8x² = 0
                     x⁴ - 8x² + 16 = 0 + 16
             x⁴ - 4x² - 4x² + 16 = 16
x²(x²) - x²(4) - 4(x²) + 4(4) = 16
           x²(x² - 4) - 4(x² - 4) = 16
                   (x² - 4)(x² - 4) = 16 
                            (x² - 4)² = 16

The answer is B.