Question

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

{ }
left brace space right brace

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

{0}
left brace 0 right brace

∅

Answer 1

To solve the equation \( 36x^2 = 0 \), we first divide both sides by 36, which simplifies to:

\[
x^2 = 0
\]

Taking the square root of both sides, we find:

\[
x = 0
\]

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

\[
\{0\}
\]

So, the correct response is:

\(\{0\}\)