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.`

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.`