anufernando anufernando
  • 07-05-2022
  • Mathematics
contestada

X^2+Y^2=7,XY=3,then X-Y=??? ​

Respuesta :

ujalakhan18
ujalakhan18 ujalakhan18
  • 07-05-2022

Answer:

[tex]\huge\boxed{\sf x - y = \pm 1}[/tex]

Step-by-step explanation:

Given that:

x² + y² = 7

xy = 3

We know that:

(x - y)² = x² + y² - 2xy

Put the above givens in the formula.

(x - y)² = 7 - 2(3)

(x - y)² = 7 - 6

(x - y)² = 1

Take sqrt on both sides

x - y = ±1

[tex]\rule[225]{225}{2}[/tex]

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