Which of the following is a solution to the equation x^2=-81? A. x=9 B. This equation has no real solution. C. All real numbers. D. x=-9

Question

asked Oct 9, 2024 64.3k views

2 Answers

Jfox · Answer 1 · 2024-10-11T03:13:45+0000

It’s B. Because whatever times itself will always be positive whether it’s negative or positive. The outcome will always be positive.

OllieGreen · Answer 2 · 2024-10-14T04:42:52+0000

The answer is:

B. This equation has no real solution

Work/explanation:

To solve this equation, we square-root both sides:

$\sf{x^2=-81}$

$\sf{√(x^2) =√(-81)}$

And here things begin to happen. We cannot take the square root of a negative number.

So this leads us to the conclusion that this equation doesn't have a solution in the "Real Numbers" set.

However, we do have a solution in the "Complex Numbers" set.