# Nature of roots

1. Dec 1, 2008

### icystrike

1. The problem statement, all variables and given/known data
The equation of a curve is y=$$\frac{3x}{\sqrt{1+x}}$$.
Given that the equation of the tangent to the curve at the point x=3 us 15x-16y=k , find the value of k.

SOLVED

2. Relevant equations

3. The attempt at a solution

Last edited: Dec 1, 2008
2. Dec 1, 2008

### Staff: Mentor

Do you know the y-coordinate on the curve when x = 3?
Do you know how to find the slope of a curve (i.e., the slope of the tangent line to the curve)?
Do you know how to find the slope of the line 15x - 16y = k?