Question: critical points

x := 'x';
y := 'y';
f := 9*x^3 - 7*x^2*y + 8*x*y^2 - 6*y^3 + 3*x^2 - 3*x*y + 4*y^2 - 3*x + 9*y - 7;
critical points of f are:

fx=diff(f,x);

fy= diff(f,y);

ctpts= solve({fx=0,fy=0},{x,y});

Answers are in radical form, wish to simplified way.

tried using simplify(ctpst) /simplify(%) 

kindly help me in obtaining the simplified answers either real or complex or both

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