Question

Express the solution set to the equation 36x2=0
in set notation.(1 point)
Responses

∅
empty set

{0}
left brace 0 right brace

{−6,6}
left brace negative 6 comma 6 right brace

{ }
left brace space right brace
Remaining Attempts : 3

Answer 1

To solve the equation \( 36x^2 = 0 \), we can start by dividing both sides by 36:

\[
x^2 = 0
\]

Taking the square root of both sides gives:

\[
x = 0
\]

Thus, the solution set contains only the value 0. In set notation, this is expressed as:

\[
\{0\}
\]

Therefore, the correct response is:

\(\{0\}\)