Question

if x+y=5/2, find xy and x-y​

Answer 1

Answer:

Go through the attachment.

Step-by-step explanation:

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Answer 2

Answer:

$xy =y(\frac{5}{2}-y)\\x-y=\frac{5}{2}-2y$

Step-by-step explanation:

Given:-

$x+y=\frac{5}{2}$

To find:-

$xy, x-y$

Solution:-

$x+y=\frac{5}{2}$

$x=\frac{5}{2}-y$

$x=\frac{5-2y}{2}$

$xy=(\frac{5-2y}{2})y$

⇒ $\frac{5y-2y^{2}}{2}$

⇒ $\frac{5y}{2} -\frac{2y^{2}}{2}$

⇒ $\frac{5y}{2} -y^{2}$

⇒ $y(\frac{5}{2} -y)$

$x-y=(\frac{5-2y}{2} )-y$

⇒ $\frac{5-2y-2y}{2}$

⇒ $\frac{5-4y}{2}$

⇒ $\frac{5}{2}-\frac{4y}{2}$

⇒ $\frac{5}{2}-2y$

∴ $xy =y(\frac{5}{2}-y)\\x-y=\frac{5}{2}-2y$