Answered

IDNLearn.com is your trusted platform for finding reliable answers. Our platform provides prompt, accurate answers from experts ready to assist you with any question you may have.

What is two numbers that multiply to 24 but add to 25?

Sagot :

Naǫidn
x, y - the numbers

[tex]xy=24 \\ x+y=25 \\ \\ \hbox{solve the second equation for y:} \\ x+y=25 \\ y=25-x \\ \\ \hbox{substitute 25-x for y in the first equation:} \\ x(25-x)=24 \\ 25x-x^2=24 \\ -x^2+25x-24=0 \\ -x^2+24x+x-24=0 \\ -x(x-24)+1(x-24)=0 \\ (-x+1)(x-24)=0 \\ -x+1=0 \ \lor \ x-24=0 \\ x=1 \ \lor \ x=24 \\ \\ y=25-x \\ y=25-1 \ \lor \ y=25-24 \\ y=24 \ \lor \ y=1[/tex]

The numbers are 1 and 24.
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your questions deserve precise answers. Thank you for visiting IDNLearn.com, and see you again soon for more helpful information.