Question

Solve the equation
`16x^2+4=0` by factoring.

Answer 1

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

Answer 2

9514 1404 393

Answer:

x = ±i/2

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.