The roots of the quadratic equation , where q is not 0 are and and the
roots of the quadratic equation is and . For any p ,p' and q , show that the sum of the four possible values of k is .
The roots of the quadratic equation , where q is not 0 are and and the
roots of the quadratic equation is and . For any p ,p' and q , show that the sum of the four possible values of k is .
so you have: fro the last equation you get which with the first equation give us: [here i'm assuming that ]
putting what we got for in the second equation, i.e. gives us: thus: and the result follows.
You dont need to find the roots. All you need is the sum of the roots. Looking at the polynomial equation, cant you tell the sum of the roots in terms of its coefficients?