# Dancers all over

Algebra Level 2

There are 3 dancers, $$\color{Red}{\text{Bingo}} ,\color{Blue}{\text{Mingo}}$$ and $$\color{Green}{\text{Tingo}}$$ .

They are dancing, and during their dance, they move along the path in the Cartesian plane as stated below.

$$\color{Red}{\text{Bingo}} :::: \color{Red}{y =x^3-52x+96 }$$

$$\color{Blue}{\text{Mingo}} :::: \color{Blue}{y= x+44}$$

$$\color{Green}{\text{Tingo}} :::: \color{Green}{y =x^4 - 24x^3 + 148x^2 - 336x + 256}$$

They all yell out "WOW" if they all meet at a point.

The point where they yell "WOW" can be stated as $$(a,b)$$ in Cartesian system, and $$a$$ and $$b$$ are integers . Find the value of $$\color{Purple}{a+b}$$

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