# Model tp042
var x_1;
let x_1 := 1;
var x_2;
let x_2 := 1;
var x_3;
let x_3 := 1;
var x_4;
let x_4 := 1;
minimize obj: (x_1 - 1)^2 + (x_2 - 2)^2 + (x_3 - 3)^2 + (x_4 - 4)^2;
subject to ce_1: x_1 - 2 = 0;
subject to ce_2: x_3^2 + x_4^2 - 2 = 0;
display obj;
solve;
display obj;
display x_1;
display x_2;
display x_3;
display x_4;
display obj - 13.85786437626905;
display x_1 - 2;
display x_2 - 2;
display x_3 - 0.848528137423857;
display x_4 - 1.131370849898476;