Question

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

Quadratics
ANSWERED
asked 2021-02-06
Use Vieta's formulas to find the sum and product of the roots.
\(\displaystyle{x}^{{2}}+{3}{x}-{5}={0}\)

Answers (1)

2021-02-07
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 \(\displaystyle=\frac{{c}}{{a}}=-\frac{{5}}{{1}}=-{5}\)
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