Question
How many solutions are in the solution set for the equation 3x^2=21
zero
two
one
infinitely many
zero
two
one
infinitely many
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To solve the equation \( 3x^2 = 21 \), we can start by dividing both sides by 3:
\[
x^2 = \frac{21}{3}
\]
This simplifies to:
\[
x^2 = 7
\]
Next, we take the square root of both sides:
\[
x = \pm \sqrt{7}
\]
This gives us two solutions: \( x = \sqrt{7} \) and \( x = -\sqrt{7} \).
Therefore, the number of solutions in the solution set is **two**.
\[
x^2 = \frac{21}{3}
\]
This simplifies to:
\[
x^2 = 7
\]
Next, we take the square root of both sides:
\[
x = \pm \sqrt{7}
\]
This gives us two solutions: \( x = \sqrt{7} \) and \( x = -\sqrt{7} \).
Therefore, the number of solutions in the solution set is **two**.
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