Question

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

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

{0}
left brace 0 right brace

∅
empty set

{ }

Answer 1

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

\[
x^2 = 0
\]

Taking the square root of both sides, we find:

\[
x = 0
\]

Thus, the only solution is \( x = 0 \).

In set notation, the solution set is:

\(\{0\}\)

So the correct response is:

\{0\} (left brace 0 right brace)