(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

prove that [tex]\sqrt{x}[/tex] + [tex]\sqrt{y}[/tex] = c

Show that the sum of the x and y intercepts of any tangents to the line above = c (some positive constant).

2. Relevant equations

y1 - y2 = m(x1 - x2)

dy/dx(for this problem) = -[tex]\sqrt{y}[/tex]/[tex]\sqrt{x}[/tex]

3. The attempt at a solution

So I get the slope, as written above, and put it into a point/slope equation, but where from here? When I try to solve for y = 0 and x = 0 I always have y2 and x2 left, I think I might just be doing something completely wrong, I haven't done something like this for a while. Is this even the right direction? Solve for the y and x int by making the opposite 0 in the equation, and then try to get the results, (the two interecepts) to add up to be [tex]\sqrt{x}[/tex] + [tex]\sqrt{y}[/tex]

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# Proof of x and y int of a line

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