Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Complete the square 3x^2+12x-1 show working

Sagot :

[tex]3x^2+12x-1\\\\a=3;\ b=12;\ c=-1\\\\\Delta=b^2-4ac\to\Delta=12^2-4\cdot3\cdot(-1)=144+12=156\\\\x=\frac{-b\pm\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{156}=\sqrt{4\cdot39}=\sqrt4\cdot\sqrt{39}=2\sqrt{39}\\\\x=\frac{-12\pm2\sqrt{39}}{2\cdot3}=\frac{-6\pm\sqrt{39}}{3}\\\\3x^2+12x-1=3(x-\frac{-6-\sqrt{39}}{3})(x-\frac{-6+\sqrt{39}}{3})\\\\=\boxed{3(x+\frac{6+\sqrt{39}}{3})(x+\frac{6-\sqrt{39}}{3})}[/tex]
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.