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Originally Posted by

I have a circle problem and am trying to find coordinates of any points at which the circle (x + 3)^2 + (y - 4)^2 = 17 intersects the line 3y = - 5x + 14.

I started off and got to;

(x + 3)^2 + ( y - 4)^2 = 17

(x + 3)^2 + ( - 5x + 14 - 4) = 17

(x + 3)^2 + ( - 5x + 2/3) = 17

(x + 3)^2 + 1/9(25x^2 - 20x + 4) = 17

I got this far above but don't know what to do with the denominator 9?

If I expand (x + 3)^2 = x^2 + 6x + 9

What I can't do is add this to 1/9(25x^2 - 20x + 4) = 17

This is were I am stuck?

Originally Posted by

**Jameson**What is the full problem you are trying to solve? I can't make sense of your post until I know that.I have a circle problem and am trying to find coordinates of any points at which the circle (x + 3)^2 + (y - 4)^2 = 17 intersects the line 3y = - 5x + 14.

I started off and got to;

(x + 3)^2 + ( y - 4)^2 = 17

(x + 3)^2 + ( - 5x + 14 - 4) = 17

(x + 3)^2 + ( - 5x + 2/3) = 17

(x + 3)^2 + 1/9(25x^2 - 20x + 4) = 17

I got this far above but don't know what to do with the denominator 9?

If I expand (x + 3)^2 = x^2 + 6x + 9

What I can't do is add this to 1/9(25x^2 - 20x + 4) = 17

This is were I am stuck?

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