quadratic equation problem

Oct 2009
202
4
Given \(\displaystyle m\) and \(\displaystyle 2\) are the roots of the quadratic equation \(\displaystyle px^2-p(3x-1)=3x-1,\)where \(\displaystyle m\) and \(\displaystyle p\) are constants.Find the value of \(\displaystyle m\) and \(\displaystyle p\).
 
Aug 2007
3,171
860
USA
If they are "roots", use substitution.



Substitute x = 2
Substitute x = m

Solve for p.
 
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Aug 2007
3,171
860
USA
One probably should point out that this is linear in 'p' and, without too much difficulty, is solved for 'p'. After that, one could substitute many values for 'x' with relative ease.