Sqrt question: all poss solns to sqrt(x)+sqrt(a)=sqrt(72) for 0<x<y

mina123 said:
Can you find all possible answers?

sqrt(x)+sqrt(a)=sqrt(72)

0<x<y
Click to expand...

Hello. Your exercise statement contains three symbolic numbers: x, a, y

Did you intend to type sqrt(y) above, instead of sqrt(a) ?

If so, then there are too many numerical answers for x and y to post all possible solutions. Please double-check to be sure that you've provided the entire exercise statement. For example, are there any other constraints on x and y that we need to know?

In other words, should we include solutions like this one?

\(\displaystyle \sqrt{x} + \sqrt{y} = \sqrt{72}\)

\(\displaystyle x = \dfrac{2001}{500} \;\text{and}\; y = \dfrac{38001}{500} - \dfrac{6}{25} \cdot \sqrt{20010}\)

[FONT=MathJax_Math-italic]I[/FONT]f there are no constaints on x and y, then a symbolic answer is the only way to represent all solutions. :cool:
 
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