SOLUTION: hello Three points (A,B,C) lie on the quadratic equation ax� +bxy +cy�=25.344 If the x and y coordinates of the points are A(1.000,2.000), B(-2.000,8.530), and C(0.000,

Algebra ->  Decimal-numbers -> SOLUTION: hello Three points (A,B,C) lie on the quadratic equation ax� +bxy +cy�=25.344 If the x and y coordinates of the points are A(1.000,2.000), B(-2.000,8.530), and C(0.000,      Log On


   

Question 243295: hello
Three points (A,B,C) lie on the quadratic equation ax� +bxy +cy�=25.344
If the x and y coordinates of the points are A(1.000,2.000), B(-2.000,8.530), and C(0.000,3.576), then by generating three equations, find the values for a, b, and c to 3 decimal places.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
Plug in the coordinates.

A(1, 2) --> a + 2b + 2c = 25.344
B(-2, 8.53) --> -2a - 17.06b + 8.53c = 25.344
C(0, 3.576) --> 3.576c = 25.344

c = 25.344/3.576 = 7.087

Now that you know c, you have a system of equations in a and b. You can solve this through substitution or elimination. I hope this helps.