SOLUTION: How would you solve the equation 2 minus root x+1=root x+3 ps: Root means in a square root symbol

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Question 434917: How would you solve the equation 2 minus root x+1=root x+3
ps: Root means in a square root symbol
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
2+-+sqrt%28x%2B1%29+=+sqrt%28x%2B3%29
Squaring both sides gives:
4+-+4%2Asqrt%28x%2B1%29+%2B+%28x%2B1%29+=+x+%2B+3
Collect terms:
2+=+4%2Asqrt%28x%2B1%29 -> 1%2F2+=+sqrt%28x%2B1%29
Square both sides:
1%2F4+=+x+%2B+1
This gives x = -3/4
Check:
2+-+sqrt%281%2F4%29+=+sqrt%289%2F4%29
1.5 = 1.5