Chapter 10: Q 15. (page 677)

In Problem, identify the graph of each equation without completing the squares.
$3 x^{2} - 2 y^{2} + 6 x + 4 = 0$

Short Answer

Expert verified

The equation represents the graph of hyperbola.

Step by step solution

Step 1. Given information

The given equation is $3 x^{2} - 2 y^{2} + 6 x + 4 = 0$ .

Step 2. Identify the graph.

Consider the equation $3 x^{2} - 2 y^{2} + 6 x + 4 = 0$

Compare this equation with $A x^{2} + C y^{2} + D x + E y + F = 0$ .

$\begin{array}{rcl} A & = & 3 \\ C & = & - 2 \\ A C & = & 3 (- 2) \\ = & - 6 \\ < & 0 \end{array}$

As $A C < 0$ , therefore this equation represents hyperbola.

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In Problem, identify the graph of each equation without completing the squares.
$3 x^{2} - 2 y^{2} + 6 x + 4 = 0$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the graph.

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In Problem, identify the graph of each equation without completing the squares.3x2-2y2+6x+4=0

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Calculus

Discrete Mathematics

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In Problem, identify the graph of each equation without completing the squares.
$3 x^{2} - 2 y^{2} + 6 x + 4 = 0$