if x + y = 13 and xy = 6 (1/4), find x-y
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Step-by-step explanation:
x + y = 13 ……(1)
xy = 25/4 …..(2)
(x - y)² = (x + y)² - 4 xy = (13)² - 4 × 25/4
=169 - 25 = 144
(x - y) = 12 …….(3)
From the equation (1) and (3)
x + y = 13
x - y = 12
Adding the equations, we get
2x = 25
or x = 25/2 and substituting the value of x in equation (1), we get
25/2 + y = 13
or y = 13 - 25/2 = (26 - 25)/2 = 1/2
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