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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 11: Q. 40 (page 773)

graph each equation of the system. Then solve the system to find the points of intersection.
$y^{2} - x^{2} + 4 = 0 2 x^{2} + 3 y^{2} = 6$

Short Answer

Expert verified

The point of intersection is not defined as the values are imaginary.

Step by step solution

01

Step 1. Given information

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

02

Step 2. Graphing each equation

$y^{2} - x^{2} + 4 = 0$

$2 x^{2} + 3 y^{2} = 6$

03

Step 3. Calculation of intersection point

$C o n s i d e r, y^{2} - x^{2} + 4 = 0 . . . . . . . . (1) 2 x^{2} + 3 y^{2} = 6 . . . . . . . . . . (2) s u b t r a c t i n g e q . 2 f r o m e q . 1 脳 2 w e g e t 5 y^{2} + 14 = 0 y = 卤 \sqrt{\frac{14}{5}} S i n c e t h e v a l u e s a r e i m a g i n a r y t h e r e f o r e n o s o l u t i o n e x i s t .$

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