/*! 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} Q23. Solve the equation by completing... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q23. (page 566)

Solve the equation by completing the square. Round to the nearest tenth.

x2鈭�10x=鈭�24

Short Answer

Expert verified

x=4,鈥�6are the solutions of the given equation.

Step by step solution

01

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

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

02

Step 2. Define the quadratic formula.

For the quadratic equationax2+bx+c=0, where,a鈮�0 is given by

x=鈭�b卤b2鈭�4ac2a

03

Step 3. Solve the equation x2−10x=−24 by completing the square.

Change the equation x2鈭�10x=鈭�24in standard form.

The standard form is

x2鈭�10x+24=0

Compare the quadratic equation x2鈭�10x+24=0with the quadratic equation ax2+bx+c=0.

a=1,鈥�b=鈭�10,鈥�c=24

Substitute, a=1,鈥�b=鈭�10and c=24in x=鈭�b卤b2鈭�4ac2a.

x=鈭�鈭�10卤鈭�102鈭�412421x=10卤100鈭�962x=10卤42x=10卤22x=10鈭�22,鈥�10+22x=82,鈥�122x=4,鈥�6

Hence, x=4,鈥�6are the solutions of the given equation.

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

Describe how the graph of the given function is related to the graph of

fx=x2gx=x2+3

Find the next three terms in each geometric sequence.

1000,鈥夆赌�500鈥夆赌�,鈥夆赌�250鈥夆赌�.....

Determine whether each trinomial is a perfect square trinomial. Write yes or no. If so, factor it.

x2+20x+100

Considery=x2鈭�5x+4

Write the equation of the axis of symmetry.

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

鈭�x2+3x鈭�1=0
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

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.