Question: Determine a-, b-, and c-values for this equation: $$3x^2 - 8x + 15 = 0$$ a b c
1. **State the problem:** We need to find the values of $a$, $b$, and $c$ in the quadratic equation $$3x^2 - 8x + 15 = 0$$.
2. **Recall the standard form:** A quadratic equation is generally written as $$ax^2 + bx + c = 0$$ where $a$, $b$, and $c$ are constants.
3. **Identify the coefficients:** Comparing $$3x^2 - 8x + 15 = 0$$ with $$ax^2 + bx + c = 0$$, we see:
- $a = 3$
- $b = -8$
- $c = 15$
4. **Final answer:**
$$a = 3, \quad b = -8, \quad c = 15$$