Bunuel wrote:

What is the value of \(xy\)?

(1) \(x^2y^2+2xy\pi-3\pi^2 = 0\)

(2) \(xy>-9.5\)

Responding to a pm:

Put xy = z to make it easier to understand. It becomes just another quadratic

\(z^2 + 2z\pi - 3\pi^2 = 0\)

\(z^2 + 3z\pi - z\pi - 3\pi^2 = 0\)

\(z ( z + 3\pi) - \pi(z + 3\pi) = 0\)

\((z + 3\pi)*(z - \pi) = 0\)

\(z = \pi, -3\pi\)

Two values for xy. Not sufficient.

(2) \(xy>-9.5\)

Not sufficient alone

Using both, z can still be \(\pi\) or\(-3\pi\) ( which is -9.4 something).

Not sufficient.

Answer (E)

P. S. - Will respond to all PMs in the coming days (was travelling so was unable to get to the requests).

_________________

Karishma

Private Tutor for GMAT

Contact: bansal.karishma@gmail.com