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Chapter 10: Q46. (page 677)

In Problems 43鈥�52, identify the graph of each equation without applying a rotation of axes.

2x2-3xy+2y2-4x-2=0

Short Answer

Expert verified

The equation defines ellipse.

Step by step solution

01

Step 1. Given Information

The given equation is 2x2-3xy+2y2-4x-2=0

HereA=2,B=-3,C=2

02

Step 2. Identifying Conic

B2-4AC=-32-422B2-4AC=9-16=-7<0

The equation defines ellipse.

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