+0  
 
0
80
1
avatar+467 

Which statement best reflects the solution(s) of the equation?

 

SamJones  Feb 9, 2018
Sort: 

1+0 Answers

 #1
avatar+85673 
+1

√[ 2x  - 1 ]  - x + 2  = 0    rearrange as

 

√ [2x - 1 ]  =  x  - 2         square both sides

 

2x - 1  =  ( x-2)^2

 

2x  - 1  =  ( x - 2) ( x - 2)

 

2x - 1  =  x^2  -  4x +  4        subtract  2x from both sides, add 1 to both sides

 

x^2 - 4x - 2x + 4 + 1  = 0

 

x^2 - 6x + 5  =  0     factor

 

(x - 5)  ( x  - 1)  =  0

 

Setting each factor to  0 and solving for x  we get the possible solutions of

 

x = 5    or  x  = 1

 

Note that  x  = 5 solves the original equation   but  x  = 1 doesn't

 

So ... the last answer is correct 

 

 

 

cool cool cool

CPhill  Feb 9, 2018
edited by CPhill  Feb 9, 2018

16 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details