Question

** WILL FAN & MEDAL **
Look at the system of equations:
y = - x^2 + 1 and y = x^2. At which approximate points are the two equations equal?

Answer 1

The y's are equal, right? That means you can set this up as x^2=-x^2 + 1. What should you do now?

Answer 2

Is it (-0.7,0.5)?

Answer 3

Well, let's work it out.
x^2=-x^2 + 1
2x^2=1
x^2=1/2
x≈0.7, -0.7
You can find the y-value by putting the solutions into y=x^2.
.7^2≈.5

So they'll intersect at (0.7, 0.5) and (-0.7, 0.5)

Answer 4

ok i see but at what points are they equal?

Answer 5

both of those are answers

Answer 6

not one answer

Answer 7

on my worksheet

Answer 8

can we see the multiple choice answers?

Answer 9

Because there are two intersections. The question is probably asking for just one intersection, so yes, (-0.7, 0.5) would be the answer they're looking for. The intersections are where the equations are equal.

Answer 10

ok i see thanks !

Answer 11

No problem!