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Chapter 9: Q. 9.159 (page 1099)

Solve:m+9-m+3=0.

Short Answer

Expert verified

The solution ism=7.

Step by step solution

01

Step 1. Given Information   

We are given the quadratic equation m+9-m+3=0and we need to solve it.

02

Step 2. Finding the solution 

Isolating the radical on one side of the equation:

m+9-m+3=0鈬�m+9=m-3

Squaring both sides of the equation, we get:

m+92=m-32鈬�m+9=m2-6m+9鈬�m2-6m+9-m-9=0鈬�m2-7m=0鈬�mm-7=0

Using the zero product property, we get:

mm-7=0鈬�m=0,m-7=0鈭�m=0m-7=0鈬�m=7

03

Step 3. Checking the answer 

m=0,m+9-m+3=0鈬�0+9-0+3=0鈬�9+3=0鈬�3+3=0鈬�6鈮�0m=7,m+9-m+3=0鈬�7+9-7+3=0鈬�16-4=0鈬�4-4=0鈬�0=0

m=0 is an extraneous solution.

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Most popular questions from this chapter

For the equation -x+2=x:

Part (a): Is x=-2a solution?

Part (b): Isx=1a solution?

In the following exercises, solve:

(a) a+2=a+4

(b)b-2+1=3b+2.

In the following exercises, solve.

a+1=a+5

Solve:x-2+2=x.

Solve:3m+2-5=0
See all solutions

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