Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

solve the equation using any method you prefer. Give imaginary roots.[tex]3a^2+4=2a[/tex]

Sagot :

konrad509
[tex]3a^2+4=2a\\ 3a^2-2a+4=0\\ \Delta=(-2)^2-4\cdot3\cdot4=4-48=-44\\ \sqrt{\Delta}=\sqrt{-44}=2\sqrt{11}i\\ x_1=\frac{-(-2)-2\sqrt{11}i}{2\cdot3}=\frac{2-2\sqrt{11}i}{6}=\frac{1-\sqrt{11}i}{3}\\ x_2=\frac{-(-2)+2\sqrt{11}i}{2\cdot3}=\frac{2+2\sqrt{11}i}{6}=\frac{1+\sqrt{11}i}{3}\\[/tex]
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.