At what points will the line y = x intersect the unit circle x^2 + y^2 = 1?

Answer 1

x²+y²=1 is a unit circle.

y = x is a line at a 45° angle with the x-y axis origin. This will be the ± points on the unit circle where sin(45°)=cos(45°)= ±√2/2

Answer 2

x² + x² = 1

y² + y² = 1