Question

1. $0 = \frac{1}{3}x^{2}$

Explanation:

Step1: Analyze the equation \(0 = \frac{1}{3}x^{2}\)

We want to solve for \(x\). First, we can multiply both sides of the equation by 3 to eliminate the fraction.
\(3\times0 = 3\times\frac{1}{3}x^{2}\)

Step2: Simplify the equation

Simplifying both sides, we get \(0 = x^{2}\).

Step3: Solve for \(x\)

Taking the square root of both sides, we know that the square root of 0 is 0, so \(x = 0\) (since both the positive and negative square roots of 0 are 0).

Answer:

\(x = 0\)