If x+y=9 and xy= -22, find:
(x-y)
Answers
Answer:
x=11 and y=-2
Step-by-step explanation:
x-y=13
I hope my ans is correct
Step-by-step explanation:
Equation........ =_____=
x+y = 9
y = 9 - x
xy = -22
x (9-x)= -22
9x -x^2 = -22
x^2 -9x -22 = 0
2 cases
9 +/- √81+88/2
9 +/- √169/2
9 +13/2 or 9 - 13/2
22/2 or -4/2
11 or -2
again 2 cases
if x = 11 or if x = -2
x+y = 9 or x+y = 9
y = -2 or y = 11
again 2 cases
If x = 11 and y = -2 or if x= -2 and y =11 then, then,
(x-y) (x-y)
(11-2) (-2-11)
9 (-13)
Hope it helps uh!