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3 votes
Which two numbers add to -22 and multiply to 121?

User Hellblazer
by
5.2k points

2 Answers

5 votes

Answer: Both numbers are -11.

Explanation:

You can represent this using two equations, where the variables are x and y:


x + y = -22\\x * y = 121

Then, solve the system using substitution by substituting y in the first equation into the second equation:


y = -22 - x\\ x * (-22 - x) = 121\\\\-x^2 - 22x - 121 = 0\\x^2 + 22x + 121 = 0\\

Then, solve the quadratic equation by factoring it:


(x+11)^2 = 0

The only solution (or zero) to the equation is -11.

This means that both numbers are equal to -11.

-11 - 11 = -22

-11 * -11 = 121

User Jarek Zmudzinski
by
5.4k points
6 votes

-11 and -11 are the two numbers that adds to -22 and multiply to 121

If we add 11 and 11 then it equals to -22.

if we multiply 11 and 11 then,it equals to 121

hope it helps...

Good luck on your assignment

User Zfm
by
4.9k points
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