# This Is Why I Hate Beetroot

**Algebra**Level 5

\[ x^4+ax^3+bx^2+cx+d = 0\]

If the **sum** of the first two roots of the equation is equal to the **sum** of the last two roots, then find the range of values of \(\displaystyle c\), such that, \(\displaystyle b+c = 1\) and \(a\neq -2\)

**Details and Assumptions:**

\(\bullet\) The roots may also be complex.

\(\bullet\) \( a,b,c,d\) are real numbers.