Chapter 9: Q53. (page 478)

Find the exact solution(s) of each system of equations.
$\begin{array}{l} x^{2} + 2 y^{2} = 33 \\ x^{2} - y^{2} = 9 \end{array}$

Short Answer

Expert verified

The solutions to the system of equations is

$(- 4.1, 2.8), (- 4.1, - 2.8), (4.1, 2.8), (4.1, - 2.8)$

Step by step solution

Step 1. Given Information.

Given to find the exact solutions of the system of equations:

$\begin{array}{l} x^{2} + 2 y^{2} = 33 \\ x^{2} - y^{2} = 9 \end{array}$

Step 2. Explanation.

Solving the system of equations using graphic calculator:

From the graph, the two graphs intersect at the points

$(- 4.1, 2.8), (- 4.1, - 2.8), (4.1, 2.8), (4.1, - 2.8)$

Step 3. Conclusion.

Hence, the solutions to the system of equations is

$(- 4.1, 2.8), (- 4.1, - 2.8), (4.1, 2.8), (4.1, - 2.8)$

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Find the exact solution(s) of each system of equations.
$\begin{array}{l} x^{2} + 2 y^{2} = 33 \\ x^{2} - y^{2} = 9 \end{array}$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Explanation.

Step 3. Conclusion.

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Find the exact solution(s) of each system of equations.x2+2y2=33x2−y2=9

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Explanation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

Find the exact solution(s) of each system of equations.
$\begin{array}{l} x^{2} + 2 y^{2} = 33 \\ x^{2} - y^{2} = 9 \end{array}$