Question

The average of two numbers 6.5 and square root of their product is 6.what are the numbers?

Answer 1

Hey mate !!

Answer:

( x ,y ) = ( 9 , 4 ) or ( 4 , 9 )

Step-by-step explanation:

[ Refer the attachment ]

Answer 2

The numbers are 9 and 4

Step-by-step explanation:

Let the two numbers be x and y

The average of two numbers 6.5

So, $6.5=\frac{x+y}{2}$

$6.5 \times 2 =x+y\\13=x+y$---A

We are given that square root of their product is 6

So, $\sqrt{xy}=6$

$xy=6^2\\xy=36$

Substitute the value of x in A

$13=\frac{36}{y}+y\\y^2-13y+36=0\\(y-9)(y-4)=0\\y=9,4$

So, The numbers are 9 and 4

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The am of two numbers is 6.5 and their gm is 6.the two numbers are

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