Question

The graphs in the XY plane of y=x^2 and y=x^2+x+k intersect where x=?

Answer 1

How can you make x^2 = x^2 + x + k?

Answer 2

Substitute?

Answer 3

How about subtracting any terms you see on both sides of the equation...

Answer 4

What does that leave you?

Answer 5

If y=x^2, then just plug that into the longer one to get what you did.

Answer 6

Subtract x^2 from both sides of that equation I gave you, what do you get?

Answer 7

0 = x + k, right? Can you solve that for x?

Answer 8

x+k

Answer 9

X+K=0

Answer 10

Okay, solve for x...

Answer 11

Ohhh.........-K

Answer 12

x =

Answer 13

right! If x = -k, then the two have the same y value.

Answer 14

Thanks and God bless

Answer 15

you'll encounter not a few problems where just making everything match is all you have to do...

Answer 16

Thats right!