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Q46.

Expert-verifiedFound in: Page 677

Book edition
6th

Author(s)
Sullivan

Pages
1200 pages

ISBN
9780321795465

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

$2{x}^{2}-3xy+2{y}^{2}-4x-2=0$The equation defines ellipse.

The given equation is $2{x}^{2}-3xy+2{y}^{2}-4x-2=0$

Here $A=2,B=-3,C=2$

${B}^{2}-4AC={\left(-3\right)}^{2}-4\left(2\right)\left(2\right)\phantom{\rule{0ex}{0ex}}{B}^{2}-4AC=9-16=-7<0$

The equation defines ellipse.

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