# What are x and y if #y=x^2+6x+2# and # y=-x^2+2x+8#?

##### 1 Answer

Dec 22, 2015

#### Explanation:

I interpret the question as asking what values of x and y will satisfy both expressions. In that case, we can say that for the required points

Moving all items to the left gives us

Therefore

Substituting into one of the equations gives us

or

Therefore the points of intersection of the two parabolas are