SOLUTION: find the real solution. please show me step by step. id appreciate it. thank you x+8√x=0

Algebra ->  Radicals -> SOLUTION: find the real solution. please show me step by step. id appreciate it. thank you x+8√x=0      Log On


   

Question 557718: find the real solution.
please show me step by step. id appreciate it. thank you
x+8√x=0
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+8%2Asqrt%28x%29+=+-x+
square both sides
+64x+=+x%5E2+
+x%5E2+-+64x+=+0+
+x%2A%28+x+-+64+%29+=+0+
+x+=+0+
+x+=+64+
It looks like there are 2 real solutions:
You have to take the negative square root
in the equation +8%2A%28+-sqrt%2864%29%29+=+-64+
+8%2A%28-8%29+=+-64+
+-64+=+-64+
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If only the (+) square root is allowed, then
+x+=+0+ is the only answer