Question

If arithmetic mean of two numbers a and b is 8... 1 mark.

Answer 1

Product of roots = ab = 9

Mean = 8

=> (a+b) / 2= 8

=> a + b = 16

Sum of roots = 16

Required quadratic equation is x^2 - (sum of roots) x + Product of roots = 0

=> x^2 - 16x + 9 = 0

Answer 2

Answer:

Step-by-step explanation:

a+b/2=8

a+b=16

ab=9  (given)

p(x)= x^2 - (sum of zeroes) + (product of zeroes)

      = x2 - 16x + 9