SOLUTION: 2x=√(1-3x)

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Question 558195: 2x=√(1-3x)
Found 2 solutions by mananth, MathTherapy:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
2x=+sqrt%281-3x%29
square both sides
4x%5E2=+1-3x
4x^2+3x-1=0}}}
4x^2+4x-x-1=0
4x(x+1)-1(x+1)=0
(x+1)(4x+1)=0
x= -1 Or -1/4

Answer by MathTherapy(10801) About Me  (Show Source):
You can put this solution on YOUR website!
2x=√(1-3x)
***************
The other person's solutions, matrix%281%2C3%2C+-+1%2C+or%2C+-+1%2F4%29 are WRONG!!

2x+=+sqrt%281+-+3x%29
For the RADICAND, 1 - 3x, we have: system%281+-+3x+%3E=+0%2C+-+3x+%3E=+-+1%2C+highlight%28x+%3C=+1%2F3%29%29
So, we get: 2x+=+sqrt%281+-+3x%29, with highlight%28x+%3C=+1%2F3%29
     4x%5E2+%2B+3x+-+1+=+0 <==== Up to this point is CORRECT!
(x + 1)(4x - 1) = 0
                x + 1 = 0    OR    4x - 1 = 0
                      matrix%281%2C3%2C+x+=+-+1%2C+or%2C+x+=+1%2F4%29
Although both solutions are+%3C=+1%2F3, x = - 1 is EXTRANEOUS, and so, ONLY VALID/ACCEPTABLE solution is: highlight%28x+=+1%2F4%29