If x + y = 15 and xy = 14, then the value of x

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If x + y = 15 and xy = 14, then the value of x – y is :

A12

B14

C13

D11

Answer:

Given:

x + y = 15, xy = 14

Formula Used:

(x – y)² = (x + y)² – 4xy

Calculation:

⇒ (x – y)² = (15)² – $4\times{14}$ = 225 – 56 = 169

∴ x – y = 13

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