Quadratic Equations
Symmetric Functions of Roots
Grade 11
Question:
<p>If <i>a</i>, <i>b</i>, <i>c</i> are complex numbers and \(a + b + c = ab + bc + ca = abc = 1\), then find \(a + b^4 + c^4\)</p>
<p>(A) 1</p>
<p>(B) 0</p>
<p>(C) 3</p>
<p>(D) 8</p>
Step-by-Step Solution
Key Concept: Use the constraint conditions to form a polynomial whose roots are \(a\), \(b\), \(c\), then compute power sum \(a + b^4 + c^4\).
<p>Solution not provided in text.</p>
Correct Answer: B