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](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ug0r0l672ypmx82l1dia6gwgnaufjq7h7d.png)
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\\](https://img.qammunity.org/2021/formulas/mathematics/middle-school/v53jq78cw473ymstjd5tws77lwpbxlflxe.png)
Then, solve the quadratic equation by factoring it:
![(x+11)^2 = 0](https://img.qammunity.org/2021/formulas/mathematics/middle-school/71n6s6rsux23ywfe8o2u333kdgc7mb4t2z.png)
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