Question

If x+y=5 and xy=4, find the value of x-y
NEED HELP PLEASE​

Answer 1

Answer:

x=1 and y=4

so x-y=-3

x-y=3

Answer 2

Step-by-step explanation:

(x+y)² = x²+2xy+y² (on squaring both sides)

(5)² = x² + 2×(4) + y² ( on putting the values of x+y & xy )

25 = x²+8+y²

x²+y² = 25–8

x²+y² = 17

now ,

(x-y)² = x² - 2xy + y²

(x-y)² = (x²+y²) - 2xy

on putting the values of x²+y² & xy

(x-y)² = 17 - 2(4)

(x-y)² = 17–8

(x-y)² = 9

(x-y) = √9