A NT Problem in Disguise

Geometry Level 5

Find the smallest natural number \(a\) for which the equation

\[\cos^2(\pi(a-x))-2\cos(\pi(a-x))+\cos\left(\dfrac{3\pi x}{2a}\right)\cos\left(\dfrac{\pi x}{2a}+\dfrac{\pi}{3}\right)+2=0\]

has a real root.

×

Problem Loading...

Note Loading...

Set Loading...