Question

If AM and GM of two positive numbers a and b are 10 and 8 respectively then (a,b) is. (16,4) 2. (10,8) 3. (6,4) 4. (4,6)​

Answer 1

Answer:

2. (10,8)

Step-by-step explanation:

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Answer 2

Answer:

We have,

a+b/2 =10 and √ab =8⇒a+b=20 and ab=64

Clearly,a and b are roots of the equation

x² −(a+b) x+ab=0

or, x² −20x+64=0

⇒(x−16)(x−4)=0⇒x=4,16⇒a=4,b=16 or a=16,b=4

Step-by-step explanation:

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