SOLUTION: sqrt(2x+3)-sqrt(x+1)=1

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Question 738388: sqrt(2x+3)-sqrt(x+1)=1
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%282x%2B3%29-sqrt%28x%2B1%29=1

sqrt%282x%2B3%29=sqrt%28x%2B1%29%2B1....raise both side to power of 2

%28sqrt%282x%2B3%29%29%5E2=%28sqrt%28x%2B1%29%2B1%29%5E2

2x%2B3=x%2B1%2B2sqrt%28x%2B1%29%2B1

2x%2B3-x-2=2sqrt%28x%2B1%29

x%2B1=2sqrt%28x%2B1%29

%28x%2B1%29%2F2=sqrt%28x%2B1%29

%28%28x%2B1%29%2F2%29%5E2=%28sqrt%28x%2B1%29%29%5E2

%28x%2B1%29%5E2%2F4=x%2B1

%28x%2B1%29%5E2%2F4-x-1=0

%28x%2B1%29%5E2-4x-4=0

x%5E2%2B2x%2B1-4x-4=0

x%5E2-2x-3=0

x%5E2%2Bx-3x-3=0

%28x%5E2%2Bx%29-%283x%2B3%29=0

x%28x%2B1%29-3%28x%2B1%29=0

%28x-3%29%28x%2B1%29=0


solutions
if x-3=0, the x=3
if x%2B1=0, the x=-1