Suggested languages for you:

Americas

Europe

Q. 49

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.

$10{x}^{2}-12xy+4{y}^{2}-x-y-10=0$The equation defines ellipse.

The given equation is $10{x}^{2}-12xy+4{y}^{2}-x-y-10=0$

Here $A=10,B=-12,C=4$

${B}^{2}-4AC={\left(-12\right)}^{2}-4\left(10\right)\left(4\right)\phantom{\rule{0ex}{0ex}}{B}^{2}-4AC=144-160=-16<0$

The equation defines ellipse.

94% of StudySmarter users get better grades.

Sign up for free