A: What are the solutions to the quadratic equation x2+4=0? B: What is the factored form of the quadratic expression x2+4? Select one answer for question A, and select one answer for question B.

Question

A: x=−2

A: x=2i or x=−2i

A: x=2i

A: x=2 or x=−2

B: (x+2i)(x−2i)

B: (x+2)(x+2)

B: (x+2i)(x+2i)

B: (x+2)(x−2)

Answer 1

There are many ways to solve this. One would be:

x² + 4 = 0 subtract 4 from both sides

x² = -4 square root both sides

x = + or - SQRT(-4) we know that i² = -1 so

x = + or - SQRT(4i²)

x = + or - 2i