/*! 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} Q.9 Solve Quadratic Equations of the... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q.9 (page 869)

Solve Quadratic Equations of the Form ax2=kUsing the Square Root Property.

In the following exercises, solve each equation43x2=48

Short Answer

Expert verified

The solution of the quadratic equation: x=6,x=-6

Step by step solution

01

Step 1. Given information  

Consider the quadratic equation 43x2=48

The objective is to solve the quadratic equation by using the square root property.

If x2=k, then x=卤k

The quadratic term is isolated. Divide by 34to make its coefficient 1.

3443x2=34(48)x2=36

02

Step 2. Apply square root property    

So, x=卤36

Simplify the radical.

role="math" localid="1645636382479" x=卤6路6x=卤6

Rewrite to show two solutions.

x=6,x=-6

03

Step 3. Check the solutions 

Substitute x=6in the original equation.

role="math" localid="1645636601121" 43x2=4843(6)2=?484(12)=?4848=48

Substitute x=-6in the original equation.

43x2=4843(-6)2=?484(12)=?4848=48

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

In the following exercises, solve by using the Quadratic Formula.
2x2+3x+3=0

The distance between opposite corners of a rectangular field is four more than the width of the field. The length of the field is twice its width. Find the distance between the opposite corners. Round to the nearest tenth.

In the following exercises, solve by using the Quadratic Formula.
19c2+23c=3

In the following exercises, solve by using the Quadratic Formula.
2x2-x+1=0

Solve by using the Quadratic Formula:19d2-12d=-13
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Pure 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.