question_answer

If the roots of the equation \[{{x}^{2}}-5x+16=0\]are \[\alpha ,\beta \] and the roots of equation \[{{x}^{2}}+px+q=0\] are \[{{\alpha }^{2}}+{{\beta }^{2}},\] \[\frac{\alpha \beta }{2},\]then \[|p+q|=\]                                                                                                                                                                                                                

Answer:

(57)