Question
Express the solution set to the equation 36x2=0
in set notation.(1 point)
Responses
{ }
left brace space right brace
∅
empty set
{0}
left brace 0 right brace
{−6,6}
in set notation.(1 point)
Responses
{ }
left brace space right brace
∅
empty set
{0}
left brace 0 right brace
{−6,6}
Answers
GPT-4o mini
To solve the equation \(36x^2 = 0\), we first divide both sides by \(36\), resulting in:
\[
x^2 = 0
\]
Taking the square root of both sides gives:
\[
x = 0
\]
Thus, the solution set contains only the value 0. In set notation, the solution set is expressed as:
\[
\{0\}
\]
Therefore, the correct response is:
\(\{0\}\)
\[
x^2 = 0
\]
Taking the square root of both sides gives:
\[
x = 0
\]
Thus, the solution set contains only the value 0. In set notation, the solution set is expressed as:
\[
\{0\}
\]
Therefore, the correct response is:
\(\{0\}\)