Question

Submit 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. 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

A: x=2i or x=−2i

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

Explanation:

A: Subtracting 4 from the equation gives ...

x² = -4

Taking the square root gives the imaginary result(s) ...

x = ±√(-4) = ±2i

So, the solutions are ...

x = 2i or x = -2i

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B: If x=a is a solution to a quadratic equation, then (x-a) is a factor of it. The factored form of the equation is ...

(x -2i)(x +2i) = 0

So the factored form of the expression on the left can be written as ...

(x+2i)(x-2i)