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which statement best reflects the solution of the equation?

 

√3x+1   - x + 3 = 0

 

a. There is only one solution: x = 8. The solution x = 0 is an extraneous solution

 

b. There are two solutions: x=1 and x= 8

 

c. There is only one solution: x=1. The solution x=8 is an extraneous solution

 

d.There is only one solution: x=8. The solution x=1 is an extraneous solution

whosmans  Oct 18, 2018
 #1
avatar+91112 
+1

√ [3x+1 ]   - x + 3 = 0     rearrange  as

 

√[3x+1]   =  x - 3       square both sides

 

3x + 1  =  x^2 - 6x + 9      subtract 3x , 1 from both sides and we get

 

x^2 - 9x + 8  =  0    factor

 

(x - 8) ( x - 1)  = 0      set each factor to 0  and solve for x and we get

 

x = 8    and   x  = 1

 

Check that the first answer makes the original equation true, but not the second

 

So....  "D"  is correct

 

 

cool cool cool

CPhill  Oct 18, 2018

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