Question

Solve the following equation algebraically:

-16=16x^2

How many solutions does this equation have? Explain.

Answer 1

B. No solution because I got that right

Answer 2

For this case we have the following equation:
-16 = 16x ^ 2
Clearing x we have:
-16 / 16 = x ^ 2
x ^ 2 = -1
x = +/- root (-1)
Rewriting:
x = +/- i
Therefore, the solutions are:
x1 = i
x2 = -i
Answer:
this equation has two solutions:
x1 = i
x2 = -i