Solve the equation by factoring.

9514 1404 393

  x = ±i/2

Step-by-step explanation:

Factoring, we get ...

  4(4x^2 +1) = 0

  4(2x +i)(2x -i) = 0

The values of x that make the factors zero are ...

  x = -i/2

  x = i/2

The solution is x = ±(1/2)i.

x = i/2

x = -i/2

Explanation:

16x² + 4 = 0

16x² = 0 - 4

16x² = -4

x² = -4/16

x² = -1/4

x = √-1/4

x = 1i/2

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