Question

27. If a and ß are the zeroes of the polynomial f(x) = 5x2 - 7x + 1, then find the
value of alpha over beta plus beta over alpha​

Answer 1

SOZ : alpha + beta = -b/a

= -(-7)/5

= 7/5

POZ : alpha × beta = c/a

= 1/5

=> alpha/beta + beta/alpha

=> TAKING LCM

=> (alpha + beta)²/alpha × beta

=> 49/25÷ 1/5

=> TAKING RECIPROCAL

=> 49/25× 5/1

=> 49/5

ANS : 49/5

HOPE IT HELPS !!