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 $\displaystyle p$.

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- May 27th 2010, 08:57 PMmastermin346quadratic equation problem
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 $\displaystyle p$.

- May 27th 2010, 09:15 PMTKHunny
If they are "roots", use substitution.

http://www.mathhelpforum.com/math-he...3118f136-1.gif

Substitute x = 2

Substitute x = m

Solve for p. - May 28th 2010, 02:37 PMTKHunny
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.