Question

If x + y =5 and xy =4, find x-y, using identities.

Answer 1

Answer:

x-y = ±3

Step-by-step explanation:

(x+y) = 5
(x+y)^2 = 5^2
x^2+y^2 +2xy = 25
x^2+y^2 = 25-2(4) = 25-8 = 17

Now we need to find x-y so,
(x-y)^2 = x^2+y^2 - 2xy = 17 - 2 (4) = 17-8 = 9
(x-y)^2 = 9
x-y = ±3

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