What is the solution set of y=x2+2x+7 and y=x+7?

Question

anonymous · Answer

@Astrophysics

astrophysics · Answer

What method, substitution, elimination, matrices, etc?

anonymous · Answer

it doesnt tell me

astrophysics · Answer

You can solve for x by setting y = y so you get $$x^2+2x+7=x+7$$

astrophysics · Answer

What do you get when you solve for x here?

anonymous · Answer

2x^3 i think

anonymous · Answer

Go to math way .com.  It is also an app.   Gives me almost every single math answer I can think of except word problems

astrophysics · Answer

No, you need to factor so you have $$x^2+2x+7=x+7 \implies x^2+2x+7-x-7=0 \implies x^2+x=0$$ now solve for x.

astrophysics · Answer

$$x^2+x=0$$ you can complete the square if you like

astrophysics · Answer

Though you can just do $$x(x-1)=0$$ now what are the roots?

astrophysics · Answer

^ this will give your x values, once you find that just plug it in either of the original equations above to get the corresponding y value, it will be easier if you plug the x values in y = x+7, this will give you your (x,y) solutions where you should have two.

anonymous · Answer

x^2+2x+7=x+7

subtract x+7 on both sides of the equation

x^2+x=0

I think the answers are: 

 x = 1
 x = 0

astrophysics · Answer

@badsuns can you please stop giving out the answers.

anonymous · Answer

@Astrophysics just trying to help, but i'll stop. sorry about that. i'm not 100% sure on this answer anyway.

astrophysics · Answer

Thanks