Question
Show how many solutions are in the solution set for the equation 3x^2=21.(1 point)
Responses
two
two
one
one
zero
zero
infinitely many
infinitely many
Responses
two
two
one
one
zero
zero
infinitely many
infinitely many
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To solve the equation \(3x^2 = 21\), we can first simplify it:
1. Divide both sides by 3:
\[
x^2 = \frac{21}{3}
\]
\[
x^2 = 7
\]
2. Next, we take the square root of both sides:
\[
x = \pm \sqrt{7}
\]
This means there are two solutions: \(x = \sqrt{7}\) and \(x = -\sqrt{7}\).
Therefore, the correct answer is:
**two**
1. Divide both sides by 3:
\[
x^2 = \frac{21}{3}
\]
\[
x^2 = 7
\]
2. Next, we take the square root of both sides:
\[
x = \pm \sqrt{7}
\]
This means there are two solutions: \(x = \sqrt{7}\) and \(x = -\sqrt{7}\).
Therefore, the correct answer is:
**two**
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