# Is the AREA imaginary or real?

**Algebra**Level 3

If the area of the polygon whose vertices are the solutions (in the complex plane) to the equation \({ x }^{ 7 }+{ x }^{ 6 }+{ x }^{ 5 }+{ x }^{ 4 }+{ x }^{ 3 }+{ x }^{ 2 }+x+1=0\), can be expressed in the simplest form as \(\cfrac { \xi \sqrt { \vartheta } +\Im }{ \forall } \). Find the value of \(\xi +\vartheta +\Im +\forall \).

\(Details\)

\(\xi ,\vartheta ,\Im ,\forall \quad \quad \epsilon \quad Positive Integers\)

\(\vartheta \) is a square free positive integer.

**Your answer seems reasonable.**Find out if you're right!

**That seems reasonable.**Find out if you're right!

Already have an account? Log in here.