y = - x2 + 1 and y = x2. At which approximate points are the two equations equal?

Question

mrnood · Answer

$$y= -x ^{2}+1$$
$$y= x ^{2}$$

when they are equal:
$$-x ^{2} + 1 = x ^{2}$$

solve for x

remember +/- the sqrt

anonymous · Answer

Wait what?? I'm confused.

mrnood · Answer

you are given 2 equations for y

when they are equal you can set the 2 expressions (in x) equal:

when they are equal:
$$-x ^{2}+1 = x ^{2}$$  

So you can find the values fro x where this is true

anonymous · Answer

sorry comp sut down....

mrnood · Answer

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the 2 graphs are shown in sketch

they are equal where they intersect

solve the equation in my last post to find the 2 x values where they intersect