Chapter 11: Q. 60 (page 773)

In Problems $57 - 64$ , use a graphing utility to solve each system of equations. Express the solution(s) rounded to two decimal places.
role="math" localid="1646900169179" $\{\begin{cases} x^{3} + y^{2} = 2 \\ x^{2} y = 4 \end{cases}$

Short Answer

Expert verified

The graph for the equation $\{\begin{cases} x^{3} + y^{2} = 2 \\ x^{2} y = 4 \end{cases}$ is,

From the graph, the solution of the given system is, $(- 1.37, - 2.14)$ .

Step by step solution

Step 1. Given information

$\{\begin{cases} x^{3} + y^{2} = 2 \\ x^{2} y = 4 \end{cases}$

First we need to solve each equations for $y$ .

Let us consider the first equation.

$x^{3} + y^{2} = 2 y^{2} = 2 - x^{3} y = \pm \sqrt{2 - x^{3}}$

Next solve the second equation.

$x^{2} y = 4 y = \frac{4}{x^{2}}$

Step 2 Now sketch a graph for the obtained equations.

In the graph, the two equations are intersecting at a point $(- 1.37, 2.14)$ .

So, the system has only one solution.

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In Problems $57 - 64$ , use a graphing utility to solve each system of equations. Express the solution(s) rounded to two decimal places.
role="math" localid="1646900169179" $\{\begin{cases} x^{3} + y^{2} = 2 \\ x^{2} y = 4 \end{cases}$

Short Answer

Step by step solution

Step 1. Given information

Step 2 Now sketch a graph for the obtained equations.

One App. One Place for Learning.

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In Problems 57-64, use a graphing utility to solve each system of equations. Express the solution(s) rounded to two decimal places.role="math" localid="1646900169179" x3+y2=2x2y=4

Short Answer

Step by step solution

Step 1. Given information

Step 2 Now sketch a graph for the obtained equations.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

Pure Maths

Applied Mathematics

Logic and Functions

Statistics

Study anywhere. Anytime. Across all devices.

In Problems $57 - 64$ , use a graphing utility to solve each system of equations. Express the solution(s) rounded to two decimal places.
role="math" localid="1646900169179" $\{\begin{cases} x^{3} + y^{2} = 2 \\ x^{2} y = 4 \end{cases}$