SOLUTION: square root of p + square root of p+3=3

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Question 67142: square root of p + square root of p+3=3
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
square root of p + square root of p+3=3
sqrt%28p%29%2Bsqrt%28p%2B3%29=3
sqrt%28p%29-sqrt%28p%29%2Bsqrt%28p%2B3%29=3-sqrt%28p%29
sqrt%28p%2B3%29=3-sqrt%28p%29
%28sqrt%28p%2B3%29%29%5E2=%283-sqrt%28p%29%29%5E2
p%2B3=%283%29%5E2-3%2Asqrt%28p%29-3%2Asqrt%28p%29%2Bsqrt%28p%29%5E2
p%2B3=9-6%2Asqrt%28p%29%2Bp
p-p%2B3=9-6%2Asqrt%28p%29%2Bp-p
3=9-6%2Asqrt%28p%29
3-9=9-9-6%2Asqrt%28p%29
-6=-6%2Asqrt%28p%29
-6%2F-6=-6%2Asqrt%28p%29%2F-6
1=sqrt%28p%29
1%5E2=%28sqrt%28p%29%29%5E2
1=p
Check to make sure this answer is not extraneous:
sqrt%281%29%2Bsqrt%281%2B3%29=3
1%2Bsqrt%284%29=3
1%2B2=3
3=3 The answer is valid.
highlight%28p=1%29
Happy Calculating!!!!