- #1

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## Homework Statement

Find the area between

x=2(y^2) and x+y=1

## The Attempt at a Solution

First I'm trying to find their intersection so

To solve for y I set up:

2(y^2)=1-y

2(y^2)+y=1

y=0,1

But, I notice that my teacher did:

2(y^2)+y-1=0

(2y+1)(y-1)=0

y=-1, 1/2

Why are these 2 methods bringing about different answers? Shouldn't they be the same?