Answered

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Solve x^2+2x+7=0 using the quadratic formula.

Sagot :

Answer:

[tex]x=-1\pm \sqrt{6}i[/tex]

Step-by-step explanation:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-(2)\pm\sqrt{2^2-4(1)(7)}}{2(1)}[/tex]

[tex]x=\frac{-2\pm\sqrt{4-28}}{2}[/tex]

[tex]x=\frac{-2\pm\sqrt{-24}}{2}[/tex]

[tex]x=\frac{-2\pm\sqrt{-1*24}}{2}[/tex]

[tex]x=\frac{-2\pm\sqrt{-1}\sqrt{24}}{2}[/tex]

[tex]x=\frac{-2\pm i\sqrt{4*6}}{2}[/tex]

[tex]x=\frac{-2\pm i\sqrt{4}\sqrt{6}}{2}[/tex]

[tex]x=\frac{-2\pm2i\sqrt{6}}{2}[/tex]

[tex]x=-1\pm \sqrt{6}i[/tex]

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