Questions: Express the solution set to the equation (36 x^2=0) in set notation. (1 point) -6,6 (varnothing) 0

Transcript text: Express the solution set to the equation $36 x^{2}=0$ in set notation. (1 point) $\{-6,6\}$ \{\} $\varnothing$ $\{0\}$ Check answer Remaining Attempts: 3

Solution

Solution Steps

To solve the equation $36x^2 = 0$, we need to find the value of $x$ that satisfies the equation. Since the equation is a quadratic equation, we can solve it by isolating $x$. The equation simplifies to $x^2 = 0$, which implies that $x$ must be 0. Therefore, the solution set is $\{0\}$.

Step 1: Solve the Equation

We start with the equation $36x^2 = 0$. To isolate $x$, we divide both sides by 36, yielding $x^2 = 0$.

Step 2: Find the Value of $x$

Taking the square root of both sides, we find that $x = 0$.

Step 3: Express the Solution Set

The solution set, which contains all values of $x$ that satisfy the equation, is $\{0\}$.