SOLUTION: radical 5X+4 = 1+ radical 3X+1

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Question 116794: radical 5X+4 = 1+ radical 3X+1
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%285x+%2B+4%29+=+1+%2B+sqrt%283x+%2B+1%29
square both sides
5x+%2B+4+=+%281+%2B+sqrt%283x+%2B+1%29%29%5E2
5x+%2B+4+=+1+%2B+2%2Asqrt%283x+%2B+1%29+%2B+3x+%2B+1
2%2Asqrt%283x+%2B+1%29+=+5x+%2B+4+-+1+-+3x+-+1
2%2Asqrt%283x+%2B+1%29+=+2x+%2B+2
sqrt%283x+%2B+1%29+=+x+%2B+1
square both sides
3x+%2B+1+=+%28x+%2B+1%29%5E2
3x+%2B+1+=+x%5E2+%2B+2x+%2B+1
subtract 3x+%2B+1 from both sides
x%5E2+-x+=+0
x%28x+-+1%29+=+0
This is true only if either
x+=+0
x+=+1
These are the answers. You can verify by plugging
one at a time them back into the original equation