A curve has the equation 2x2+xy+2y2=202x^2 + xy + 2y^2 = 202x2+xy+2y2=20
The gradient of the tangent to the curve is -1 at the points R R\,R and SSS.
Show that x−y=0x - y = 0x−y=0 at R R\,R and SSS.
Find the coordinates of R R\,R and SSS.