Question

if à and B are the roots of x² -px+q=0. find the value of à⁵B⁷+à⁷B⁵ in terms of p&q.​

Answer 1

Step-by-step explanation:

Sum of roots =p

Product of root=q

${ \alpha }^{5} { \beta }^{7} + { \alpha }^{7} { \beta }^{5} = { \alpha }^{5} { \beta }^{5} ( { \alpha }^{2} + { \beta }^{2} )$

$({ \alpha \beta) }^{5} (( { \alpha + \beta) }^{2} - 2 \alpha \beta ) = {q}^{5} ( {p}^{2} - 2q)$