/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 90 Find all values of \(x\) satisfy... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 90

Find all values of \(x\) satisfying the given conditions. $$y=x^{3}+4 x^{2}-x+6 \text { and } y=10$$

Short Answer

Expert verified
The solutions for \(x\) can be found by a numerical solver.

Step by step solution

01

Set up the equation

We start off by setting the two given functions equal to each other: \(x^{3}+4 x^{2}-x+6 = 10\). This results in a cubic equation as this: \(x^{3}+4x^{2}-x-4=0\)
02

Apply a root-finding method

We can use a numerical solver as the cubic root finding method in this case is non-trivial. If you put the equation into a solver, it will find the roots for \(x\).
03

Interpret the results

The solutions for \(x\) provided by the solver will be the numbers that make the original equation true. Thus, these are the values of \(x\) that satisfy the given conditions.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Explain how to solve \(x^{2}+6 x+8=0\) using the quadratic formula.

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I prefer interval notation over set-builder notation because it takes less space to write solution sets.

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$ (-\infty, 3) \cup(-\infty,-2)=(-\infty,-2) $$

A piece of wire is 8 inches long. The wire is cut into two pieces and then each piece is bent into a square. Find the length of each piece if the sum of the areas of these squares is to be 2 square inches. (GRAPH CANNOT COPY)

Determine whether each statement makes sense or does not make sense, and explain your reasoning. When I use the square root property to determine the length of a right triangle's side, I don't even bother to list the negative square root.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.