SOLUTION: Can someone help me solve this equation. I have no idea how to do it. {{{2sqrt(X)+8=6}}} Simplify your answer. Please help. My online class example did not help me!!!

Algebra ->  Expressions-with-variables -> SOLUTION: Can someone help me solve this equation. I have no idea how to do it. {{{2sqrt(X)+8=6}}} Simplify your answer. Please help. My online class example did not help me!!!      Log On


   

Question 387296: Can someone help me solve this equation. I have no idea how to do it.
2sqrt%28X%29%2B8=6
Simplify your answer.
Please help. My online class example did not help me!!!
Found 3 solutions by nerdybill, robertb, edjones:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
2sqrt%28X%29%2B8=6
subtracting 8 from both sides:
2sqrt%28X%29=+-2
dividing both sides by 2:
sqrt%28X%29=+-1
squaring both sides:
X=+1

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
2sqrt%28x%29%2B8=6. The equation is the same as 2sqrt%28x%29+=+6+-+8, or 2sqrt%28x%29+=+-2, or sqrt%28x%29+=+-1. Incidentally, the quantity sqrt%28x%29 can only be non-negative, and so the last equation has no real solution in x. It is inconsistent.




Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
2sqrt(x)+8=6
2sqrt(x)=-2
sqrt(x)=-1
x=1 Square each side.
.
Check:
2sqrt(1)+8=10
So x=1 is extraneous and there is no answer.
.
Ed