Question

x+y=6 ,xy=8 find the value of x,y​

Answer 1

Step-by-step explanation:

(x+y)2 = x^2 + y^2 + 2xy

36 = x^2 + y^2 + 2*8

x^2 + y^2 = 20

So, (x-y)^2 = x^2 + y^2 -2xy

= 20-2*8 = 4

x-y = -2 or 2. ........(1)

Also, x+y = 6 .........(2)

Now adding (1) & (2),

2x = 8 or 4

x = 4 or 2

y = 4 or 2 .