SOLUTION: I'm just having trouble setting up this equation.
Find all values of b so that the straight line 3x-y=b touches the circle x^2+y^2=25 at only one point.
So I set it up as a
Algebra ->
Systems-of-equations
-> SOLUTION: I'm just having trouble setting up this equation.
Find all values of b so that the straight line 3x-y=b touches the circle x^2+y^2=25 at only one point.
So I set it up as a
Log On
Question 78466This question is from textbook College Algebra
: I'm just having trouble setting up this equation.
Find all values of b so that the straight line 3x-y=b touches the circle x^2+y^2=25 at only one point.
So I set it up as a system of equations and simplified the linear equation so I could use substitution:
y=3x-b
x^2+y^2=25
Then I tried to substitute {3x-b} for y in the circle equation:
x^2+(9x^2-6xb+b^2)=25
I was stuck as to where to go from here. Mainly, how do I find b? This question is from textbook College Algebra
You can put this solution on YOUR website! please look at the following URL:
http://renevencer18.50megs.com/mathprob/tangencyconic1.jpg
http://renevencer18.50megs.com/mathprob/tangencyconic2.jpg
I hope the solutions are there.
(