If arithmetic mean of two numbers a and b is 8... 1 mark.
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Answered by
84
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
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
Answered by
27
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
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