Answer:
3. {-2, 3/2}
Step-by-step explanation:
[tex]\mathrm{Solve\;with\;the\;quadratic\;formula}[/tex]
[tex]x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:2\left(-6\right)}}{2\cdot \:2}[/tex]
[tex]\sqrt{a^1-4*2(-6)=7}[/tex]
[tex]x_{1,\:2}=\frac{-1\pm \:7}{2\cdot \:2}[/tex]
[tex]\mathrm{Separate\:the\:solutions}[/tex]
[tex]x_1=\frac{-1+7}{2\cdot \:2},\:x_2=\frac{-1-7}{2\cdot \:2}[/tex]
[tex]x=\frac{-1+7}{2*2}:\frac{3}{2}[/tex]
[tex]x=\frac{-1+7}{2*2}:-2[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=\frac{3}{2},\:x=-2[/tex]
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