Solve the following quadratic equation 3x^2 + 5x + 2 = 0

coexpennan 2021-03-11 Answered
Solve the following quadratic equation \(\displaystyle{3}{x}^{{2}}+{5}{x}+{2}={0}\)

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Expert Answer

likvau
Answered 2021-03-12 Author has 4596 answers

The quadratic formula used for quadratic equation \(\displaystyle{a}{x}^{{2}}+{b}{x}+{c}={0}\) is,
\(\displaystyle{x}=-\frac{{{b}\pm\sqrt{{{b}^{{2}}-{4}{a}{c}}}}}{{{2}{a}}}\)
Apply the quadratic formula in \(\displaystyle{3}{x}^{{2}}+{5}{x}+{2}={0}\) then
\(\displaystyle{x}=\frac{{-{5}\pm\sqrt{{{5}^{{2}}-{4}\times{3}\times{2}}}}}{{{2}\times{3}}}\)
\(\displaystyle{x}={\left(-{5}\pm\frac{\sqrt{{{25}-{24}}}}{{6}}\right)}\)
\(\displaystyle{x}=\frac{{-{5}\pm{1}}}{{6}}\)
\(\displaystyle{x}=-\frac{{2}}{{3}},-{1}\)

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