Question

If α,β are the zeros of the polynomial, x^2-px +36 and α^2 + β^2 = 9, then what is the value of p? *

2 points

6

3

9

8​

Answer 1

Answer:

9

Step-by-step explanation:

Here a+b = p and ab = 36

Now (a+b)² = a²+b²+2ab

p² = 9 + (2×36) ( °.° a²+b² = 9 )

p² = 81

p = +9 or -9

Hence p = 9 ( -9 is rejected)