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

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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.
The two possible values of $$ w $$ are 5 and -5.

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

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