The Binary Root

Algebra Level 5

A quadratic equation


is called binary-quadratic if it satisfy the following conditions:

  • All digits of the non-negative integers \(p\) and \(q\) are either \(0\) or \(1\)

  • All digits of the roots are either \(0\) or \(1\)

How many binary-quadratic equations are there such that both roots are smaller than \(10^4\).


Problem Loading...

Note Loading...

Set Loading...