Question

If alpha and let a are zeros of x²-5x+6
So find
alpha by beta + beta by alpha​

Answer 1

Answer:

13/6

Step-by-step-explaination

Polynomials written in form of x^2 - Sx + P, represent S as sum of roots and P as product of roots.

Here,

Sum = a + b = 5

Product = ab = 6

Therefore,

= > ( a + b )² = 5²

= > a² + b² + 2ab = 25

= > a² + b² + 2(6) = 25 { ab = 6 }

= > a² + b² = 25 - 12

= > a² + b² = 13 ...(1)

Then,

= > a/b + b/a

= > ( a² + b² )/ab

= > 13/6 { a²+b²=13, from (1)}