Without solving, state the sum and product of the roots of the quadratic equation $3x^2-12x+9=0$.

Step-by-step solution

1. For a quadratic $a{x}^2+bx+c=0$, sum of roots $=-\frac{b}{a}$ and product $=\frac{c}{a}$.
2. Identify $a=3$, $b=-12$, $c=9$ from the given equation.
3. Compute sum: $-\frac{-12}{3}=\frac{12}{3}=4$.
4. Compute product: $\frac{9}{3}=3$.

Concept tested: Sum and product of roots

Published 24 August 2026 · How this solution was prepared and checked

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