Chapter 1: Q 6. (page 51)

Use a graphing utility to approximate the real solution of the equation rounded to two decimal places.All the solution lie between $- 10$ and $10$ .
Equation is $- x^{3} + 7 x - 2 = x^{2} + 3 x - 3$ .

Short Answer

Expert verified

The roots of the given equation are $x = - 1, x = \pm 2$ .

Step by step solution

Step 1. Given information .

Consider the given equation . $- x^{3} + 7 x - 2 = x^{2} + 3 x - 3$

Step 2. Find the root of the given equation.

To find the root simplify the given equation.

$- x^{3} - + 7 x - 2 = - x^{2} - 3 x + 3 x^{3} + x^{2} - 4 x - 1 = 0 x^{2} (x + 1) - 4 (x + 1) = 0 x = - 1, x = \pm 2$

Step 3. Plot the graph.

The graph of the given equation using graphic utility as shown below.

$Y_{1} = - x^{3} + 7 x - 2 Y_{2} = x^{2} + 3 x - 3$

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Use a graphing utility to approximate the real solution of the equation rounded to two decimal places.All the solution lie between $- 10$ and $10$ .
Equation is $- x^{3} + 7 x - 2 = x^{2} + 3 x - 3$ .

Short Answer

Step by step solution

Step 1. Given information .

Step 2. Find the root of the given equation.

Step 3. Plot the graph.

One App. One Place for Learning.

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Use a graphing utility to approximate the real solution of the equation rounded to two decimal places.All the solution lie between -10and 10.Equation is-x3+7x-2=x2+3x-3.

Short Answer

Step by step solution

Step 1. Given information .

Step 2. Find the root of the given equation.

Step 3. Plot the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Statistics

Mechanics Maths

Discrete Mathematics

Probability and Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Use a graphing utility to approximate the real solution of the equation rounded to two decimal places.All the solution lie between $- 10$ and $10$ .
Equation is $- x^{3} + 7 x - 2 = x^{2} + 3 x - 3$ .