Question

if the AM and GM of two numbers are 5& 4 respectively .than the numbers are​

Answer 1

Answer:

x=2 and y=8

x=8 and y=2

Step-by-step explanation:

x^let the number be x and y

AM=(x+y) / 2

5=(x+y)/2

10=x+y----(1)

x=10-y

GM=√xy

4=√xy

16=xy (x and y are positive because Am>Gm)

16=x(10-x)

16-10x+x^2=0

x^2-10x+16=0

x^2-2x-8x+16=0

x(x-2) -8(x-2) =0

(x-8) (x-2) =0

x=2, x=8

answere is x=2 and y=8

Or x=8 and y=2