SOLUTION: Please help me solve this square root equation {{{ sqrt(w+3)=3+sqrt(w+1) I think it looks like w+3^2=3+w+1^2 but not sure, and then not sure where to go after this . Thank y

Algebra ->  Square-cubic-other-roots -> SOLUTION: Please help me solve this square root equation {{{ sqrt(w+3)=3+sqrt(w+1) I think it looks like w+3^2=3+w+1^2 but not sure, and then not sure where to go after this . Thank y      Log On


   



Question 868617: Please help me solve this square root equation Please+help+me+solve+this+square+root+equation+ sqrt(w+3)=3+sqrt(w+1)


I think it looks like w+3^2=3+w+1^2 but not sure, and then not sure where to go after this . Thank you

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28w%2B3%29=3%2Bsqrt%28w%2B1%29
w%2B3=%283%2Bsqrt%28w%2B1%29%29%5E2
w%2B3=9%2B6sqrt%28w%2B1%29%2B%28w%2B1%29
-7=6sqrt%28w%2B1%29
Here's the problem.
You can never get a square root to yield a negative number.
There is no solution.
You can see from the graph, the two curves (left hand side and right hand side of the equation) are almost "parallel" so they will never meet. Parallel in quotes because they are not straight lines.
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graph%28300%2C300%2C-3%2C20%2C-10%2C10%2Csqrt%28x%2B3%29%2C3%2Bsqrt%28x%2B1%29%29
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sqrt%28x%2B3%29 - Red
3%2Bsqrt%28x%2B1%29 - Green