SOLUTION: Solve √(r+4) +2 = r

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Question 176792: Solve √(r+4) +2 = r
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28r%2B4%29%2B2=r
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sqrt%28r%2B4%29=r-2 subtracted 2 from both sides
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sqrt%28r%2B4%29%5E2=%28r-2%29%5E2square both sides
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r%2B4=r%5E2-4r%2B4carried out operations
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r%5E2-5r=0combined terms all on one side
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r%28r-5%29=0
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r=0 and r=5
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at times one will get extraneous roots when a term is squared
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r=0 is one such root
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therefore the only solution is r=5