At what points will the line y = x intersect the unit circle x squared + y squared = I

y = x

x^2 + y^2 = 1

y^2 = x^2

y^2 + y^2 = 1

2*y^2 = 1

y^2 = 1/2

y1 = sqrt(1/2), y2 = - sqrt(1/2)

y = x

x1 = sqrt(1/2), x2 = - sqrt(1/2)

The points where the line y = x intersect the unit circle are:

(sqrt(1/2), sqrt(1/2)), ( - sqrt(1/2), - sqrt(1/2))

(root(2)/2,root(2/2))

and

(-root(2)/2,-root(2/2)