What are the real solutions, if any, for -x^2 - 3.5= -12.5? (1 point)

Question

{-3,3}

{-4,4}

9

There are no real solutions.

Answer 1

To solve the equation, we can start by adding 3.5 to both sides:

-x^2 - 3.5 + 3.5 = -12.5 + 3.5

Simplifying, we have:

-x^2 = -9

Next, we can multiply both sides by -1 to switch the sign:

x^2 = 9

Finally, we can take the square root of both sides:

x = ±√9

The square root of 9 is 3, so the solutions are x = 3 and x = -3. Therefore, the correct option is:

{-3,3}