SOLUTION: Please help me solve this equation: {{{ (3x+2)^(1/2) = 8(3x+2)^(-1/2) }}}

Algebra ->  Radicals -> SOLUTION: Please help me solve this equation: {{{ (3x+2)^(1/2) = 8(3x+2)^(-1/2) }}}      Log On


   



Question 415623: Please help me solve this equation: +%283x%2B2%29%5E%281%2F2%29+=+8%283x%2B2%29%5E%28-1%2F2%29+
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
+%283x%2B2%29%5E%281%2F2%29+=+8%283x%2B2%29%5E%28-1%2F2%29+
+%283x%2B2%29%5E%281%2F2%29%2F1+=+8%2F%283x%2B2%29%5E%281%2F2%29+ |Cross Multiplying for solving
8 = 3x + 2
6 = 3x
x = 2
CHECKING our Answer***
sqrt(8) = 8 /sqrt(8)
8 = 8