Linear Transformation

Algebra Level 4

Let \(\alpha\) and \(\beta\) be the roots of the equation \(x^2-2x-2=0\) such that \(\alpha<\beta\).

The value of the \(\alpha-2\beta\) can be expressed as \(-p-q\sqrt{3}\), where \(p\) and \(q\) are positive integers.

Find \(p+q\).

×

Problem Loading...

Note Loading...

Set Loading...