Doing number 4 I set equal to -the product roots times together
Giving( a=alpha) a+13/a+46=52
The multiplied by a to give a quadratic. However, this quadratic solved to 3+2i or 3-2i, Yet none of other roots would become conjugates? Not sure if working wrong but have checked a few tines because this seems impossible to have only one complex root?
Doing number 4 I set equal to -the product roots times together
Giving( a=alpha) a+13/a+46=52
The multiplied by a to give a quadratic. However, this quadratic solved to 3+2i or 3-2i, Yet none of other roots would become conjugates? Not sure if working wrong but have checked a few tines because this seems impossible to have only one complex root?
Why?? Your working is fine. You might be thinking of the fact that if the coefficients of the polynomial are real then the roots must come in complex conjugate pairs. The thing here is that we don't know if m,n are real, so we cannot rely on this property.
Why?? Your working is fine. You might be thinking of the fact that if the coefficients of the polynomial are real then the roots must come in complex conjugate pairs. The thing here is that we don't know if m,n are real, so we cannot rely on this property.
if we find that alpha is a conjucate pair, factoring that in to the other roots doesnt that mean theres a possibility of 6 roots?
Why?? Your working is fine. You might be thinking of the fact that if the coefficients of the polynomial are real then the roots must come in complex conjugate pairs. The thing here is that we don't know if m,n are real, so we cannot rely on this property.
just gave me some very strange values for second part... perhaps its okay though Thank you for you help all the same