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


12 - 8x^2 + x^4 = 0

A(x2 - 4)2 = -4

B(x2 - 4)2 = 4

C(x2 - 2)2 = -4

D(x2 - 2)2 = 4

Verified Answer :

Panoyin

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.

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