   Chapter 12.CR, Problem 76E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 73-76 Identify a Conic from its Graph Use a graphing device to graph the conic. Identify the type of conic from the graph. 52 x 2 − 72 x y + 73 y 2 = 100 .

To determine

To obtain:

The graph of the conic 52x272xy+73y2=100 and the type of conic from graph.

Explanation

Given:

The equation is,

52x272xy+73y2=100

Approach:

Use the following steps in graphing calculator TI-83 Plus to obtain the graph of conic.

• Press Y= on the calculator.

• Write the value of y in terms of x.

• Press GRAPH.

Calculation:

The given equation can be written as,

73y22(36x)y+(52x2100)=0

A quadratic equation ay2+by+c=0 is formed for y.

Obtain y in terms of x.

y=72x±(72x)24×73×(52x21

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