Question

Find tha value of x +y when x-y=2,xy=8

Answer 1

Answer:

x+y=6

Step-by-step explanation:

x-y=2

squaring both side:-

(x-y)²=(2)²

x²+y²-2xy=4

x²+y²+2xy-4xy=4

(x+y)²-4xy=4

(x+y)²-4(8)=4

(x+y)²-32=4

(x+y)²=36

x+y=$\sqrt{36}$

x+y=6

Answer 2

Answer:

X+y=6

Step-by-step explanation:

X+y=?

X-y=2

Xy=8

So,

X-y=2

X=2+y

Xy=8

(2+y) y=8

2y+y²=8

Y²+2y-8=0

Y²+(4-2) y-8 =0

Y²+4y-2y-8=0

Y(y+4) -2(y+4)

Y=2, y= -4

So put value

X-y=2

X=2+2

X=4

X=4 and y=2

So

X+y

4+2=6

X+y=6