Difference between revisions of "AoPS Wiki talk:Problem of the Day/July 5, 2011"

m (Solution)
(Solution)
 
Line 8: Line 8:
 
Use the quadratic formula to find the remaining roots to be <math>\frac{-3 \pm i\sqrt{47}}{2}</math>
 
Use the quadratic formula to find the remaining roots to be <math>\frac{-3 \pm i\sqrt{47}}{2}</math>
  
So, the answers are: <math> \boxed {-3; \frac{-3 \pm i\sqrt{47}}{2}} </math>.
+
So, the answers are: <math> \boxed {3; \frac{-3 \pm i\sqrt{47}}{2}} </math>.

Latest revision as of 15:48, 5 July 2011

Problem

AoPSWiki:Problem of the Day/July 5, 2011

Solution

Try the only possible integer roots which are $\pm$ {1,2,3,6,7,14,21,42}

3 works so divide out (x-3) to get $x^2 + 3x + 14$

Use the quadratic formula to find the remaining roots to be $\frac{-3 \pm i\sqrt{47}}{2}$

So, the answers are: $\boxed {3; \frac{-3 \pm i\sqrt{47}}{2}}$.