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Chapter 10: Q 15. (page 677)

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

3x2-2y2+6x+4=0

Short Answer

Expert verified

The equation represents the graph of hyperbola.

Step by step solution

01

Step 1. Given information

The given equation is3x2-2y2+6x+4=0.

02

Step 2. Identify the graph.

Consider the equation 3x2-2y2+6x+4=0

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

A=3C=-2AC=3(-2)=-6<0

AsAC<0, therefore this equation represents hyperbola.

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