+0  
 
0
649
2
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As in, I have no idea how to recognize or solve them.

Like one example I was given was 9(2m-3)-squared +8=449. (Yay, variables.)

Haven't a clue how to go about solving for two solutions. Heck, I'm still shaky finding one. Please help?

 Oct 29, 2015

Best Answer 

 #1
avatar+130544 
+15

I assume you have this :

 

9 ( 2m - 3)^2 + 8 = 449       our goal is just to end up with the (2m - 3)^2 part on the left side...so....

 

Subtract 8 from both sides

 

9 (2m - 3)^2  = 441     

 

Divide both sides by 9

 

(2m - 3)^2   = 49

 

Now.....here's where we can use the square root property......take the square root of both sides.....but remember......on the right we need to take the plus and minus square root of 49.....so we will have two equations

 

2m - 3   =  sqrt 49)                and          2m - 3  =  -sqrt (49)

 

And we have

 

2m - 3   = 7                          and          2m - 3 = -7

 

Add 3 to both sides

 

2m   =  10                           and            2m  =  -4

 

Divide both sides by 2

 

m = 5                                 and        m  =  -2

 

Pretty easy, huh ????

 

 

cool cool cool

 Oct 29, 2015
 #1
avatar+130544 
+15
Best Answer

I assume you have this :

 

9 ( 2m - 3)^2 + 8 = 449       our goal is just to end up with the (2m - 3)^2 part on the left side...so....

 

Subtract 8 from both sides

 

9 (2m - 3)^2  = 441     

 

Divide both sides by 9

 

(2m - 3)^2   = 49

 

Now.....here's where we can use the square root property......take the square root of both sides.....but remember......on the right we need to take the plus and minus square root of 49.....so we will have two equations

 

2m - 3   =  sqrt 49)                and          2m - 3  =  -sqrt (49)

 

And we have

 

2m - 3   = 7                          and          2m - 3 = -7

 

Add 3 to both sides

 

2m   =  10                           and            2m  =  -4

 

Divide both sides by 2

 

m = 5                                 and        m  =  -2

 

Pretty easy, huh ????

 

 

cool cool cool

CPhill Oct 29, 2015
 #2
avatar
0

All right, I see. Thanksabunch.

 Oct 29, 2015

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