SOLUTION: Solve equation, check result √(x+1) + 1 = √(2x)

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Question 427364: Solve equation, check result
√(x+1) + 1 = √(2x)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%28x%2B1%29+%2B1=sqrt%282x%29.......to power of 2

%28sqrt%28x%2B1%29%29%5E2+%2B2%2Asqrt%28x%2B1%29%2B1=%28sqrt%282x%29%29%5E2


x%2B1+%2B2%2Asqrt%28x%2B1%29%2B1=2x
2%2Asqrt%28x%2B1%29=2x-x-1-1
2%2Asqrt%28x%2B1%29=x-2...to power of 2
%282%2Asqrt%28x%2B1%29%29%5E2=%28x-2%29%5E2
4%28x%2B1%29=x%5E2-4x%2B4
4x%2B4=x%5E2-4x%2B4
0=x%5E2-4x-4x-4%2B4
0=x%5E2-8x
0=x%28x-8%29

so, x=0...if that, we will have no solution because sqrt%282x%29

or %28x-8%29=0..=>..x=8



check:

if x=8
sqrt%288%2B1%29+%2B1=sqrt%282%2A8%29
sqrt%289%29+%2B1=sqrt%2816%29

3+%2B1=4
4=4