einsteinholmes
einsteinholmes einsteinholmes
  • 01-09-2020
  • Mathematics
contestada

if x+y=3, x²+y²=5 then find the value of xy

Respuesta :

ujalakhan18
ujalakhan18 ujalakhan18
  • 01-09-2020

Answer:

[tex]\huge\boxed{xy = 2}[/tex]

Step-by-step explanation:

=> [tex]\sf (x+y)^2 = x^2 + y^2 + 2xy[/tex]

Given that [tex]\sf x + y = 3 , x^2 + y^2 = 5[/tex]

=> [tex]\sf (3)^2 = 5 + 2xy[/tex]

=> [tex]9 = 5 + 2xy[/tex]

=> [tex]9-5 = 2xy[/tex]

=> [tex]4 = 2xy[/tex]

Dividing both sides by 2

=> 2 = xy

OR

=> xy = 2

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