Without solving, state the sum and product of the roots of the quadratic equation $2x^2-7x+3=0$.

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 $a=2$, $b=-7$, $c=3$.
3. Compute sum: $-\frac{-7}{2}=\frac{7}{2}$.
4. Compute product: $\frac{3}{2}=\frac{3}{2}$.
5. Therefore the required sum is $\frac{7}{2}$ and the product is $\frac{3}{2}$.

Concept tested: Sum and product of roots

Published 21 August 2026 · How this solution was prepared and checked

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