TKO
Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

What two numbers multiply together and equal 16 and add together and equal -2?

Sagot :

None, because both numbers must be negative in order to get a positive answer, or both positive. However, -2 means that there is at least one negative number, or two negative numbers. the only option : -1+(-1)= -2. So there is no real solution.
AL2006
There is a solution, but you might not have learned how to do it yet
in middle school.

If you've learned to use the quadratic formula to solve a quadratic equations,
then you can do this.

The first requirement says: ' x ' times ' y ' = 16
The second requirement says: (x + y) = -2

Take the second requirement, and subtract ' x ' from each side:

y = -x - 2

Substitute this into the first requirement:

' x ' times (-x - 2) = 16

Eliminate parentheses:

-x² - 2x = 16

Subtract 16 from each side:

-x² - 2x - 16 = 0

Multiply each side by -1:

x² + 2x + 16 = 0

Solve this with the quadratic formula, and you get two solutions,
which are the two numbers that satisfy both requirements.

The numbers are

-1 + √-15

-1 - √-15

Check:

-- Product: (-1 + √-15) times (-1 - √-15) = 1 + 15 = 16

-- Sum = -1 + √-15 -1 - √-15 = -2

They work. 
yay
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.