+0  
 
+5
719
1
avatar

The quadratic function which take value 41 at x=-2 and the value 20 at x=5

\(y=Ax^2-Bx+C\)

find A,B,C

 Sep 5, 2015
 #1
avatar+130514 
+5

This cannot be be precisely determined ....to see why, we have

 

41 = A(-2)^2 + B(-2)  + C    →   41  = 4A - 2B + C   (1)

 

20 = A(5)^2  + B(5)  + C   →     20 = 25A + 5B  + C   (2)

 

But, we have more variables than equations......in this situation, we will have an infinite number of solutions

 

[We need one more point and function value at that point to obtain a solution ]

 

 

 

cool cool cool

 Sep 5, 2015

1 Online Users