SOLUTION: Find the solutions to the equations:|2x-14|=6 Answer is one of the following: A. x=-4,10 B. x=4,10 C. x=11,17 D. x=12,14 Thanks!

Algebra ->  Equations -> SOLUTION: Find the solutions to the equations:|2x-14|=6 Answer is one of the following: A. x=-4,10 B. x=4,10 C. x=11,17 D. x=12,14 Thanks!      Log On


   

Question 43576: Find the solutions to the equations:|2x-14|=6
Answer is one of the following: A. x=-4,10 B. x=4,10 C. x=11,17 D. x=12,14
Thanks!
Found 2 solutions by Nate, venugopalramana:
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
|2x - 14| = 6
2x+-+14+=+6 and 2x+-+14+=+-6
2x+=+20 and 2x+=+8
x+=+10 and x+=+4
(B)
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%28%282x+-+14%29%5E2%29%2C+6%29+

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Find the solutions to the equations:|2x-14|=6
CASE1...2X-14 IS +VE
|2X-14|=2X-14=6......2X=14+6=20....X=20/2=10
CASE2....2X-14 IS -VE.
|2X-14|=-2X+14=6.....2X=14-6=8......X=8/2=4
Answer is one of the following: A. x=-4,10 B. x=4,10 C. x=11,17 D. x=12,14
B IS THE ANSWER