Answer: [tex]\left \{ {{y=x^{2} } \atop {y=x^2+2x+9}} \right.[/tex]
Step-by-step explanation:
1. As you can see, [tex]x^{2}[/tex] is equal to the other quadratic equation [tex]x^2+2x+9[/tex].
2. Then, this would the same as write the quadratic equations as following:
[tex]y=x^{2}[/tex]
[tex]y=x^2+2x+9[/tex]
3. And then set them equal to each other, as you can see below:
[tex]y=y[/tex]
Substituting, you obtain:
[tex]x^{2}=x^2+2x+9[/tex]
3. Keeping the above on mind, you can set up the given equations as a system of equations as folllowing:
[tex]\left \{ {{y=x^{2} } \atop {y=x^2+2x+9}} \right.[/tex]
