Question
Show how many solutions are in the solution set for the equation 3x2=21 .(1 point)
Responses
two
two
infinitely many
infinitely many
one
one
zero
zero
Responses
two
two
infinitely many
infinitely many
one
one
zero
zero
Answers
GPT-4o mini
To solve the equation \( 3x^2 = 21 \), we first divide both sides by 3:
\[
x^2 = 7
\]
Next, we take the square root of both sides:
\[
x = \sqrt{7} \quad \text{or} \quad x = -\sqrt{7}
\]
This gives us two solutions: \( \sqrt{7} \) and \( -\sqrt{7} \).
So, the number of solutions in the solution set is **two**.
\[
x^2 = 7
\]
Next, we take the square root of both sides:
\[
x = \sqrt{7} \quad \text{or} \quad x = -\sqrt{7}
\]
This gives us two solutions: \( \sqrt{7} \) and \( -\sqrt{7} \).
So, the number of solutions in the solution set is **two**.