Question

# Use Vieta's formulas to find the sum and product of the roots. x^2+3x-5=0

Use Vieta's formulas to find the sum and product of the roots.
$$\displaystyle{x}^{{2}}+{3}{x}-{5}={0}$$

Compare with $$\displaystyle{a}{x}^{{2}}+{b}{x}+{c}={0}$$
$$\displaystyle\Rightarrow{a}={1},{b}={3},{c}=-{5}$$
sum of the roots $$\displaystyle=-\frac{{b}}{{a}}=-\frac{{3}}{{1}}=-{3}$$
product of the roots $$\displaystyle=\frac{{c}}{{a}}=-\frac{{5}}{{1}}=-{5}$$