How many solutions would the equation 𝑥2 = −16 have?

Question

A. One Solution

B. Two Solutions

C. No Solution

Explain your reasoning choosing ___ (A,B,or C)

How can you determine the number of solutions of the graph?

Answer 1

2 solutions

but no real solutions

2 imaginary solutions

take the square root of both sides to get

x = + or - sqr(=-16) = 4i or - 4i

B is correct. there are as many solutions as the degree of the equation. x^2 =-16 has degree 2

But you could get 2 real, 2 imaginary or sometimes 1 real with multiplicity 2