dmd
Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

what two numbers add to 3 and multiply to -40

Sagot :

[tex]x;\ y-the\ numbers\\\left\{\begin{array}{ccc}x+y=3&|subtract\ y\ from\ both\ sides\\xy=-40\end{array}\right\\\left\{\begin{array}{ccc}x=3-y&(1)\\xy=-40&(2)\end{array}\right\\\\subtitute\ (1)\ to\ (2):\\(3-y)y=-40\\3y-y^2=-40\ \ \ |add\ 40\ to\ both\ sides\\-y^2+3y+40=0\\-y^2+8y-5y+40=0\\-y(y-8)-5(y-8)=0\\(y-8)(-y-5)=0\iff y-8=0\ or\ -y-5=0\\therefore\ \boxed{y=8\ or\ y=-5}[/tex]

[tex]subtitute\ the\ values\ of\ "y"\ to\ (1)\\\\x=3-8=-5\ or\ x=3-(-5)=3+5=8\\\\Answer:\\\boxed{\left\{\begin{array}{ccc}x=-5\\y=8\end{array}\right\ or\ \left\{\begin{array}{ccc}x=8\\y=-5\end{array}\right;\ conclusion:-5\ and\ 8}[/tex]
Panoyin
The two numbers that add to 3 and multiplied to -40 are the numbers 8 and -5.
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. 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 your go-to source for reliable answers. Return soon for more expert insights.