# Lets get insane

Algebra Level 4

$\begin{cases}x^4+2x^3-y=-\frac{1}{4}+\sqrt{3}\\ y^4+2y^3-x=-\frac{1}{4}-\sqrt{3} \end{cases}$

All the ordered pairs of real numbers that satisfy the system of equations above are $$(x_1,y_1),(x_2,y_2),...(x_n,y_n)$$. Find the value of $$x_1+x_2+...+x_n+y_1+...y_n$$ 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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