Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

What numbers add up to 5 and multiply up to -180 ?

Sagot :

konrad509
[tex]x+y=5\\ xy=-180\\\\ x=5-y\\ xy=-180\\\\ (5-y)y=-180\\ 5y-y^2+180=0\\ -y^2+5y+180=0\\ \Delta=5^2-4\cdot(-1)\cdot180=25+720=745\\ \sqrt{\Delta}=\sqrt{745}\\ y_1=\dfrac{-5-\sqrt{745}}{2\cdot(-1)}=\dfrac{5+\sqrt{745}}{2}\\ y_2=\dfrac{-5+\sqrt{745}}{2\cdot(-1)}=\dfrac{5-\sqrt{745}}{2}\\\\ x_1=5-\dfrac{5+\sqrt{745}}{2}=\dfrac{10}{2}-\dfrac{5+\sqrt{745}}{2}=\dfrac{5-\sqrt{745}}{2}\\ x_2=5-\dfrac{5-\sqrt{745}}{2}=\dfrac{10}{2}-\dfrac{5-\sqrt{745}}{2}=\dfrac{5+\sqrt{745}}{2}[/tex]

These numbers are [tex]\dfrac{5+\sqrt{745}}{2}[/tex] and [tex]\dfrac{5-\sqrt{745}}{2}[/tex].
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.