Question

equation of two different roots, find the range of p...
4x(x-4)= 9p-28-4px

Answer 1

Would this be two different real roots?

Answer 2

Or just two different roots, real or complex?

Answer 3

just two different roots

Answer 4

For 2 real roots, p must be greater than 3 or less than -4

Answer 5

I don't have the complex range yet.

Answer 6

Oh. It's easy. For two complex roots p must be between -4 and 3.

Answer 7

In other words, find the values of p that result in a discriminant of 0. That would correspond to 1 real root. All other numbers result in 2 roots--either real or complex.