- #1

lax1113

- 179

- 0

## Homework Statement

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).

## Homework Equations

y1 - y2 = m(x1 - x2)

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

## 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]