Question

if a, ß are zeroes of p(x) = x2 -5x+6 then find a/ß + ß/a .​

Answer 1

Answer:

13/6

Step-by-step explanation:

given equation:

p(x) = x²-5x+6

sum of the roots = -(-5)/1 = 5

product of roots = 6/1 = 6

required = a/ß + ß/a

= (a²+ß²)/aß

from (a+b)² formula, (a+b)² = a²+b²+2ab

a²+b²= (a+b)²-2ab

= ((a+b)²-2ab)/ab

from sum and product, a+b = 5 and ab = 6

= (5²-2(6))/6

=( 25-12)/6

= 13/6