Question
Show how many solutions are in the solution set for the equation 3x2=21.(1 point)
Responses
zero
zero
two
two
one
one
infinitely many
infinitely many
Responses
zero
zero
two
two
one
one
infinitely many
infinitely many
Answers
GPT-4o mini
To solve the equation \( 3x^2 = 21 \), we can first simplify it.
1. Divide both sides by 3:
\[
x^2 = 7
\]
2. Now, take the square root of both sides:
\[
x = \pm \sqrt{7}
\]
This shows that there are two solutions: \( \sqrt{7} \) and \( -\sqrt{7} \).
Therefore, the correct response is: **two**.
1. Divide both sides by 3:
\[
x^2 = 7
\]
2. Now, take the square root of both sides:
\[
x = \pm \sqrt{7}
\]
This shows that there are two solutions: \( \sqrt{7} \) and \( -\sqrt{7} \).
Therefore, the correct response is: **two**.