Problem

\( x^{2}+\frac{7}{2} x+3=0 \)

Answer

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Answer

\( x=\frac{-\frac{7}{2}\pm\sqrt{\left(\frac{7}{2}\right)^2-4(1)(3)}}{2(1)} \)

Steps

Step 1 ：\( \textrm{Use quadratic formula:}\ \frac{-b\pm\sqrt{b^2-4ac}}{2a} \)

Step 2 ：\( a=1,\ b=\frac{7}{2},\ c=3 \)

Step 3 ：\( x=\frac{-\frac{7}{2}\pm\sqrt{\left(\frac{7}{2}\right)^2-4(1)(3)}}{2(1)} \)

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