Q. 25 graph each equation of the syste... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 11: Q. 25 (page 773)

graph each equation of the system. Then solve the system to find the points of intersection.
$\{\begin{cases} 2 x^{2} + y^{2} = 18 \\ x y = 4 \end{cases}$

Short Answer

Expert verified

the point of intersection is $(2 \sqrt{2}, \sqrt{2}), (- 2 \sqrt{2}, - \sqrt{2}), (1, 4), (- 1, - 4)$ .

Step by step solution

Step 1. Given

$\{\begin{cases} 2 x^{2} + y^{2} = 18 \\ x y = 4 \end{cases}$

Step 2. Graphing each equation

$2 x^{2} + y^{2} = 18$

$x y = 4$

Step 3. Calculation of intersection point

$C o n s i d e r, y^{2} + 2 x^{2} = 18 . . . . . (1) x y = 4 . . . . . (2) x = \frac{4}{y} & y = 卤 \sqrt{18 - 2 x^{2}}$

$x$	$y = \frac{4}{x}$	role="math" localid="1646967835557" $y = 卤 \sqrt{18 - 2 x^{2}}$
1	4	4
2	2	$\sqrt{10}$
$2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$
-1	-4	$- 4$
-2 $\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$

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91影视

graph each equation of the system. Then solve the system to find the points of intersection.
$\{\begin{cases} 2 x^{2} + y^{2} = 18 \\ x y = 4 \end{cases}$

Short Answer

Step by step solution

Step 1. Given

Step 2. Graphing each equation

Step 3. Calculation of intersection point

One App. One Place for Learning.

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91影视

graph each equation of the system. Then solve the system to find the points of intersection.2x2+y2=18xy=4

Short Answer

Step by step solution

Step 1. Given

Step 2. Graphing each equation

Step 3. Calculation of intersection point

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Probability and Statistics

Calculus

Pure Maths

Geometry

Decision Maths

Study anywhere. Anytime. Across all devices.

graph each equation of the system. Then solve the system to find the points of intersection.
$\{\begin{cases} 2 x^{2} + y^{2} = 18 \\ x y = 4 \end{cases}$