The complex roots of :

\[ (x+2)^{2}+(x+3)^{3}=(x+4)^{4}\]

are \(\frac{-a\pm\sqrt{b}i}{c}\) for positive coprime integers \(a,b,c\).

Find \(a+b+c\).

**Details and Assumptions**

\( i^2 = -1 \)

×

Problem Loading...

Note Loading...

Set Loading...