If x + y = 4 and xy = 3, then the
value of x - y is?
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Given : x + y = 4 , xy = 3
To Find : Value of x - y
Solution:
x² + y ² - 2xy = x² + y² + 2xy - 4xy
| x - y | ² = ( x + y) ² - 4xy
=> | x - y | ² = (4) ² - 4(3)
=> | x - y | ² = 16 - 12
=> | x - y | ² = 4
=> |x - y| = 2
=> x - y = ± 2
Value of x - y is ± 2
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