Lets get insane

Algebra Level 4

{x4+2x3y=14+3y4+2y3x=143 \begin{cases}x^4+2x^3-y=-\frac{1}{4}+\sqrt{3}\\ y^4+2y^3-x=-\frac{1}{4}-\sqrt{3} \end{cases}

All the ordered pairs of real numbers that satisfy the system of equations above are (x1,y1),(x2,y2),...(xn,yn)(x_1,y_1),(x_2,y_2),...(x_n,y_n). Find the value of x1+x2+...+xn+y1+...ynx_1+x_2+...+x_n+y_1+...y_n correct upto two decimal places.

  • If you think there are infinite solutions then answer 777 and if you think no real solutions answer 666.
  • Ordered pair means (11,12),(12,11) are considered different.
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