/*! 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} Q9. Solve each equation by graphing.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q9. (page 566)

Solve each equation by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth.

x2+5x+6=0

Short Answer

Expert verified

The roots of the equationx2+5x+6=0 arex=鈭�3 and x=鈭�2.

Step by step solution

01

Step 1. Define the standard form of the quadratic function.

A quadratic function, which is written in the form, fx=ax2+bx+c, where,a鈮�0 is called the standard form of the quadratic function.

02

Step 2. Rewrite the equation x2+5x+6=0 in the form fx=ax2+bx+c. 

Write the equation x2+5x+6=0in standard form.

This equation is already in standard form.

Write the equationx2+5x+6=0 in the form fx=ax2+bx+c.

fx=x2+5x+6

03

Step 3. Plot the graph of the function fx=x2+5x+6.

The graph of the functionfx=x2+5x+6 is shown below.

04

Step 4. Solve the equation x2+5x+6=0 from the graph of the function fx=x2+5x+6.

Observe the graph of the function fx=x2+5x+6.

The graph intersects the x- axis at the points x=鈭�3and x=鈭�2.

Therefore the roots of the equationx2+5x+6=0 arex=鈭�3 and x=鈭�2.

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

Solve each equation by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth.

x2+8=鈭�6x

Graph each function. Find the y-intercept, and state the domain and range.

y=3x+1

State whether the given sentence is true or false. If false, replace the underlined term to make a true sentence.

The vertex is the maximum or minimum point of a parabola.

Look for a pattern in each table of values to determine which kind of model best describes the data. Then write an equation for the function that models the data.

x01234
y13579

Find the vertex, the equation of the axis of symmetry, and the y-intercept of the given equation.

y=7x2鈭�28x+14
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Geometry

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.