Well then a last question before I go out for some more beer.

We have the system of these two equations:

I am supposed to solve 'em for a couple of different x but I can only find the one that gives y+2=0.

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- Aug 25th 2006, 06:58 AMa4sweSystem of equations
Well then a last question before I go out for some more beer.

We have the system of these two equations:

I am supposed to solve 'em for a couple of different x but I can only find the one that gives y+2=0. - Aug 25th 2006, 08:35 AMSoroban
Hello, a4swe!

Quote:

Equation (1) is a pair of intersecting lines; equation (2) is a circle.

. . They can intersect in (at most) four points.

Equation (1) give us two equations: .

Substitute (a) into (2): .

. . and we have two intersections: .

Substitute (b) into (2): .

. . which simplifies to the quadratic: .

. . which factors: .

. . and has roots: .

Substitute into (b) and we get: .

. . and we have two more intersections: .

- Aug 25th 2006, 08:59 AMQuick
For your reference (cause it's hard to picture what it looks like), here's the graph...