SOLUTION: {{{sqrt(3x+10)=x+2}}}

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Question 684758: sqrt%283x%2B10%29=x%2B2
Answer by ReadingBoosters(3246) About Me  (Show Source):
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sqrt%283x%2B10%29+=+x%2B2
Square both sides to "undo" the square root, since they are inverse operations.
...
sqrt%283x%2B10%29%5E2+=+%28x%2B2%29%5E2
3x+10 = (x+2)^2
3x+%2B+10+=+x%5E2+%2B+4x+%2B+4
0+=+x%5E2+%2B+4x+-+3x+%2B+4+-+10
0+=+x%5E2+%2B+x+-+6
(x+3)(x-2) = 0
x+3 = 0
x = -3
AND
x-2=0
x = 2
...
sqrt%283x%2B10%29+=+x%2B2
...
sqrt%283%28-3%29%2B10%29+=+sqrt%28-9%2B10%29+=+sqrt%281%29+=+1
-3 + 2 = -1
1%3C%3E-1
x = -3 is not a solution
sqrt%283%282%29%2B10%29+=+sqrt%286%2B10%29+=+sqrt%2816%29+=+4
2+2 = 4
4=4
x = 2 is a solution
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