Answer: ![\left \{ {{y=x^{2} } \atop {y=x^2+2x+9}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7By%3Dx%5E%7B2%7D%20%7D%20%5Catop%20%7By%3Dx%5E2%2B2x%2B9%7D%7D%20%5Cright.)
Step-by-step explanation:
1. As you can see,
is equal to the other quadratic equation
.
2. Then, this would the same as write the quadratic equations as following:
![y=x^{2}](https://tex.z-dn.net/?f=y%3Dx%5E%7B2%7D)
![y=x^2+2x+9](https://tex.z-dn.net/?f=y%3Dx%5E2%2B2x%2B9)
3. And then set them equal to each other, as you can see below:
![y=y](https://tex.z-dn.net/?f=y%3Dy)
Substituting, you obtain:
![x^{2}=x^2+2x+9](https://tex.z-dn.net/?f=x%5E%7B2%7D%3Dx%5E2%2B2x%2B9)
3. Keeping the above on mind, you can set up the given equations as a system of equations as folllowing:
![\left \{ {{y=x^{2} } \atop {y=x^2+2x+9}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7By%3Dx%5E%7B2%7D%20%7D%20%5Catop%20%7By%3Dx%5E2%2B2x%2B9%7D%7D%20%5Cright.)