Find the area of the region included between the parabola `y^2=x` and the line `x+y=2` .

Explanation

Given:,
Parabola is `{y}^{2}={x}`

and line is x+y=2

Solving both

`x=2-y`

`Rightarrow y^{2}=x`

`Rightarrow y^{2}=2-y`

`Rightarrow y^{2}+y-2=0`

`Rightarrow y^{2}+2 y-y-2=0`

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