9000064504

SubArea: 
Quadratic equations with complex roots
Level: 
B
Project ID: 
9000064504
Source Problem: 
2010013307
Accepted: 
1
Clonable: 
0
Easy: 
0
Find the values of the real coefficients \(a\), \(b\) and \(c\) such that the quadratic equation \[ ax^{2} + bx + c = 0 \] has solutions \(x_{1, 2} = 1\pm \frac{\mathrm{i}} {2}\).
\(a = 4\text{, }b = -8\text{, }c = 5\)
\(a = 1\text{, }b = -4\text{, }c = 5\)
\(a = 4\text{, }b = 8\text{, }c = 5\)
\(a = 1\text{, }b = 4\text{, }c = 5\)