Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 6: Q7. (page 297)

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

-x2-7x=0

Short Answer

Expert verified

The solutions to the equation -x2-7x=0 are x=-7,0

Step by step solution

01

Step 1. Given Information.

Given to solve the equation -x2-7x=0 by graphing. And if the exact roots cannot be found, the consecutive integers between which the roots are located are to be determined.

02

Step 2. Explanation.

A quadratic equation has a real solution where the graph of the related function crosses or touches the x-axis.

Graphing the given equation using graphing calculator:

From the given graph, the function crosses the x axis at -7 and 0.

Hence the solutions to the equation -x2-7x=0 are x=-7,0.

03

Step 3. Conclusion.

Therefore, the solutions to the equation -x2-7x=0 are x=-7,0

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Give an example of a quadratic function and state its related quadratic equation.

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

4x2-8x=5

Use the related graph of each equation to determine its solutions.

2x2-5x-3=0

The shape of each arch supporting the Exchange House can be modeled by h(x)=-0.025x2+2x, where h(x) represents the height of the arch and x represents the horizontal distance from one end of the base in meters.

Write the equation of the axis of symmetry, and find the coordinates of the vertex of the graph of h(x).

A tour bus in the historic district of Savannah, Georgia, serves 300 customers a day. The charge is \(8 per person. The owner estimates that the company would lose 20 passengers a day for each \)1 fare increase. What charge would give the most income for the company?
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Mechanics Maths

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.

Sign-up for free