Question

if x+y =7/2 and xy= 5/2; find (i) x-y

Answer 1

Hi!
Here's your answer>> .
x+y=7/2
x=7/2-y
x=7-2y/2 (1)
x y=5/2 (2)
Put Equation 1 in 2
x y=5/2
(7-2y/2)×y=5/2
Multiplying y with 7-2y/2
7y-2y²/2=5/2
2 is cancelled with 2
7y-2y²=5
2y²-7y+5=0
2y²-2y-5y+5=0
2y(y-1)-5(y-1)
(2y-5)(y-1)
y=5/2 , y=1
Put the values of y in Equation 2
xy=5/2
x×5/2=5/2 | x×1=5/2
x=5/2×2/5 | x=5/2
x=1 | x=5/2

For the value of x-y
1-5/2 | 1-1 | 5/2-1 | 1-1
2-5/2 | 0 | 5-2/2 | 0
-3/2 | 0 | 3/2 | 0


These are the four values....................




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