Express the solution set to the equation 36x2=0

Question

in set notation.(1 point)
Responses

∅
empty set

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

{ }
left brace space right brace

{0}

Answer 1

To solve the equation \( 36x^2 = 0 \), we first isolate \( x^2 \):

\[ x^2 = 0 \]

Taking the square root of both sides, we find:

\[ x = 0 \]

Thus, the solution is just \( x = 0 \). In set notation, the solution set can be expressed as:

\[ {0} \]

Therefore, the correct response is:

{0}