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Chapter 10: Q 19. (page 677)

In Problem, identify the graph of each equation without completing the squares.

x2+y2-8x+4y=0

Short Answer

Expert verified

The graph is of a circle.

Step by step solution

01

Step 1. Given information

The equation isx2+y2-8x+4y=0.

02

Step 2. Identify the graph.

Consider the equation x2+y2-8x+4y=0.

Compare this equation with Ax2+Cy2+Dx+Ey+F=0.

A=1C=1AC=1(1)=1>0

So, the equation represents a circle.

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