Question

If x - y = 2 and xy = 24, find 1/x+1/y
(with explaintion)​

Answer 1

Answer:

x is 6 and y is 4

Step-by-step explanation:

first go thru the question x-y =2 and xy =24

by equation 2 we can know that x can be 12 or 6.

y can be 2 or 4

by first equation

x-y = 2

so

x=12

y=2 ( by some gesues based on equation 2 xy =24.)

answer 10 not right go for next option x 6 and y 4

6-4=2.

so x is 6 and y is 4

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Answer 2

Step-by-step explanation:

x - y = 2

x = 2 + y - (i)

xy = 24

(2 + y) y = 24 -(i)

2y + y^2 - 24 = 0

y^2 + 6y - 4y + 24 =0

y(y + 6) - 4 (y + 6) = 0

(y + 6) ( y - 4)

y= -6 , 4

minus 6 will be neglected

x -y= 2

x = 2 + 4

x = 6

1/x +1/y

1/6 + 1/4

2/12 + 3/12

5/12