Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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]

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.