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what is |2x-6|=6

 Nov 3, 2015

Best Answer 

 #2
avatar+26400 
+30

what is |2x-6|=6

 

\(\begin{array}{rcll} |2x-6| &=&6 \qquad & \qquad \text{(square both sides)}\\ (2x-6)^2 &=& 6^2 \\ 4x^2-24x+36 &=& 36\\ 4x^2-24x &=& 0 \qquad & \qquad : 4\\ x^2-6x &=& 0 \\ x(x-6) &=& 0\\ x = 0 & \text{or} & x-6 = 0 \\ x = 0 & \text{or} & x = 6 \\ \end{array}\)

 

laugh

 Nov 4, 2015
 #1
avatar+130536 
+10

|2x-6|=6   we have two equations, here

 

2x - 6   = 6            and         2x - 6  = -6

 

Add 6 to both sides

 

2x = 12                               2x  = 0 

 

Divide both sides by 2

 

x = 6            and                    x = 0

 

 

cool cool cool

 Nov 3, 2015
 #2
avatar+26400 
+30
Best Answer

what is |2x-6|=6

 

\(\begin{array}{rcll} |2x-6| &=&6 \qquad & \qquad \text{(square both sides)}\\ (2x-6)^2 &=& 6^2 \\ 4x^2-24x+36 &=& 36\\ 4x^2-24x &=& 0 \qquad & \qquad : 4\\ x^2-6x &=& 0 \\ x(x-6) &=& 0\\ x = 0 & \text{or} & x-6 = 0 \\ x = 0 & \text{or} & x = 6 \\ \end{array}\)

 

laugh

heureka Nov 4, 2015

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