# How do I find the values of....

• Jan 1st 2011, 04:30 AM
StevieGwonder
How do I find the values of....
Im really stuck on this question i have in my core 1 maths book. Ive searched throughout the chapter on how to do it but cannot find an answer.
The question is;

The curve C with equation y = x^2 + px + q, where p and q are intergers, passes through A and B coordinates. Find the values of p and q

A(-3,-2) B(2,3)

I have no idea where to start. Help will greatly apprietated.

Steve
• Jan 1st 2011, 04:46 AM
Sudharaka
Quote:

Originally Posted by StevieGwonder
Im really stuck on this question i have in my core 1 maths book. Ive searched throughout the chapter on how to do it but cannot find an answer.
The question is;

The curve C with equation y = x^2 + px + q, where p and q are intergers, passes through A and B coordinates. Find the values of p and q

A(-3,-2) B(2,3)

I have no idea where to start. Help will greatly apprietated.

Steve

Dear StevieGwonder,

Since the curve passes through the two points A and B, the equation must satisfy those points. That is,

$-2=(-3)^2+p(-3)+q$

$3=2^2+2p+q$

Hope you can continue.
• Jan 1st 2011, 05:03 AM
StevieGwonder
Awsome! Thanks very much, carried on from there and got the right answers! Thank you very much!