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If xy = – 24 and (x + y)2 = 25, what is the value of (x – y)?

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 If xy = – 24 and (x + y)2 = 25, what is the value of (x – y)?


1.  ± 19
2.  ± 21
3.  ± 11
4.  ± 12
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Correct Answer - Option 3 :  ± 11

Given:

xy = – 24

(x + y)2 = 25

Concept:

⇒ (x – y)2 = (x + y)2 – 4xy

Calculation:

⇒ (x – y)2 = (x + y)2 – 4xy

⇒ (x – y)2 = 25 – 4 × (-24)

⇒ (x – y)2 = 25 + 96

⇒ (x – y)2 = 121

⇒ x – y = ± 11

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