math97
Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

what two numbers add to 9 and multiply to -70

Sagot :

naǫ
x, y - the numbers

The numbers add to 9 and multiply to -70.
[tex]x+y=9 \\ xy=-70 \\ \\ y=9-x \\ xy=-70 \\ \\ \hbox{substitute 9-x for y in the second equation:} \\ x(9-x)=-70 \\ 9x-x^2=-70 \\ -x^2+9x+70=0 \\ -x^2+14x-5x+70=0 \\ -x(x-14)-5(x-14)=0 \\ (-x-5)(x-14)=0 \\ -x-5=0 \ \lor \ x-14=0 \\ x=-5 \ \lor \ x=14 \\ \\ y=9-x \\ y=9-(-5) \ \lor \ y=9-14 \\ y=14 \ \lor \ y=-5 \\ \\ (x,y)=(-5,14) \hbox{ or } (x,y)=(14,-5)[/tex]

The numbers are -5 and 14.
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.