Question

2x squared + xy + 5y square

Answer 1

This is a quadratic expression which can be factorised into two complex factors.

2x²+xy+5y². Using the quadratic formula:

x=(-y±√(y²-40y²))/4=(-y±y√-39)/4=y(-1±i√39)/4.

So x=-¼y+¼iy√39 or x=-¼y-¼iy√39 where i=√-1 (imaginary).

(2x+½y-½iy√39)(x+¼y+¼iy√39)=2x²+xy+y²/8+39y²/8=2x²+xy+5y².