Find the two values that \( w \) can have if \( 3 w^{2}-75=0 \)

To solve the equation \( 3w^2 - 75 = 0 \) for \( w \), follow these steps: 1. **Isolate the quadratic term:** \[ 3w^2 = 75 \] 2. **Divide both sides by 3:** \[ w^2 = 25 \] 3. **Take the square root of both sides:** \[ w = \sqrt{25} \quad \text{or} \quad w = -\sqrt{25} \] \[ w = 5 \quad \text{or} \quad w = -5 \] **Therefore, the two possible values for \( w \) are 5 and -5.** Answer: The two possible values of w are five and negative five.