Question

How can x^2=x^2+2x+9 be set up as a system of equations

Answer 1

Answer: $\left \{ {{y=x^{2} } \atop {y=x^2+2x+9}} \right.$

Step-by-step explanation:

1. As you can see, $x^{2}$ is equal to the other quadratic equation $x^2+2x+9$.

2. Then, this would the same as write the quadratic equations as following:

$y=x^{2}$

$y=x^2+2x+9$

3. And then set them equal to each other, as you can see below:

$y=y$

Substituting, you obtain:

$x^{2}=x^2+2x+9$

3. Keeping the above on mind, you can set up the given equations as a system of equations as folllowing:

$\left \{ {{y=x^{2} } \atop {y=x^2+2x+9}} \right.$