Question
What are the real solutions, if any, for −x2−3.5=−12.5 ?(1 point)
Responses
9
9
{−3,3}
{−4,4}
There are no real solutions.
Responses
9
9
{−3,3}
{−4,4}
There are no real solutions.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To solve the equation \(-x^2 - 3.5 = -12.5\), we can start by rearranging it:
1. Add \(3.5\) to both sides:
\[
-x^2 = -12.5 + 3.5
\]
This simplifies to:
\[
-x^2 = -9
\]
2. Multiply both sides by \(-1\):
\[
x^2 = 9
\]
3. Now, take the square root of both sides:
\[
x = \pm 3
\]
Thus, the solutions are \(-3\) and \(3\).
The real solutions are \(\{−3, 3\}\).
1. Add \(3.5\) to both sides:
\[
-x^2 = -12.5 + 3.5
\]
This simplifies to:
\[
-x^2 = -9
\]
2. Multiply both sides by \(-1\):
\[
x^2 = 9
\]
3. Now, take the square root of both sides:
\[
x = \pm 3
\]
Thus, the solutions are \(-3\) and \(3\).
The real solutions are \(\{−3, 3\}\).
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