Solve quadratic equation using the quadratic formula. x^2 + 5x + 2 = 0

texelaare 2020-12-03 Answered
Solve quadratic equation using the quadratic formula. \(\displaystyle{x}^{{2}}+{5}{x}+{2}={0}\)

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Expert Answer

Raheem Donnelly
Answered 2020-12-04 Author has 10270 answers

The quadratic formula used for quadratic equation \(\displaystyle{a}{x}^{{2}}+{b}{x}+{c}={0}\) is,
\(\displaystyle{x}=-\frac{{{b}\pm\sqrt{{{b}^{{2}}-{4}{a}{c}}}}}{{{2}{a}}}\)
Here, \(a=1, b=5 ,c=2\)
Substitute the given values in the quadratic formula as,
\(\displaystyle{x}=\frac{{-{5}\pm\sqrt{{{25}-{20}}}}}{{2}}\)
\(\displaystyle{x}=\frac{{-{5}\pm\sqrt{{5}}}}{{2}}\)
Hence, the solution for the equation is \(\displaystyle{x}=\frac{{-{5}+\sqrt{{5}}}}{{2}}{\quad\text{and}\quad}{x}=\frac{{-{5}-\sqrt{{5}}}}{{2}}\)

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