Question

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

{0}
start set 0 end set - no response given

{ }
{ }
- no response given

{−6,6}
start set negative 6 comma 6 end set - incorrect

∅

Answer 1

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

\[
x^2 = 0
\]

Taking the square root of both sides, we find:

\[
x = 0
\]

Thus, the only solution to the equation is \( x = 0 \). In set notation, we express the solution set as:

\[
\{ 0 \}
\]

So the correct response is:

\(\{0\}\)