Express the solution set to the equation 36x2=0

Question

in set notation.(1 point)
Responses

{ }
left brace space right brace

∅
empty set

{0}
left brace 0 right brace

{−6,6}

Answer 1

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:

\({0}\)