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Chapter 9: Q53. (page 478)

Find the exact solution(s) of each system of equations.

x2+2y2=33x2鈭�y2=9

Short Answer

Expert verified

The solutions to the system of equations is

鈭�4.1,2.8,鈭�4.1,鈭�2.8,4.1,2.8,4.1,鈭�2.8

Step by step solution

01

Step 1. Given Information.

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

x2+2y2=33x2鈭�y2=9

02

Step 2. Explanation.

Solving the system of equations using graphic calculator:

From the graph, the two graphs intersect at the points

鈭�4.1,2.8,鈭�4.1,鈭�2.8,4.1,2.8,4.1,鈭�2.8

03

Step 3. Conclusion.

Hence, the solutions to the system of equations is

鈭�4.1,2.8,鈭�4.1,鈭�2.8,4.1,2.8,4.1,鈭�2.8

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