Question

x-y=2 এবং xy=24 হলে,(x+y) এর মান কত?

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given:-

• x - y = 2
• xy = 24

To find:-

• x + y

Now,

$\: \: \bold{x + y}$

$= \: \: \bold{ \sqrt{ {(x + y)}^{2} } }$

$= \: \: \bold{ \sqrt{ {(x - y)}^{2} + 4xy } }$

Now, substituting the values, we get

$= \: \: \bold{ \sqrt{ {(2)}^{2} + 4 \times 24} }$

$= \: \: \bold{ \sqrt{ 4 + 96} }$

$= \: \: \bold{ \sqrt{100} }$

$= \: \: \bold{ 10 }$

Hence ,

★ x + y = 10

Formulae required:-

$\boxed{ \bold{ {(x + y)}^{2} = {(x - y)}^{2} + 4xy}}$