Question

Find the value of x-y when x+y=9 and xy=14​

Answer 1

x + y = 9 and xy = 14

So x = 7 and y = 2 or x = 2 and y = 7

So x - y = 7 - 2 = 5 or x - y = 2 - 7 = -5

x - y = 5 or -5

Answer 2

Step-by-step explanation:

x+y=9

(x+y)²=9²

x²+y²+2xy=81

x²+y²+2*14=81

x²+y²=81-28

x²+y²=53

x²+y²-2xy=53-2xy

(x-y)²=53-2*14

(x-y)²=53-28

(x-y)²=25

x-y=√25=5