Question

if x+y=4 and xy=3, then the value of x-y is​
please step by step explain kar do

Answer 1

Step-by-step explanation:

x+y=4

(x+y)²=16

(x-y)²+4xy=16

(x-y)²+4.3=16

(x-y)²=4

x-y=±2

Answer 2

Given : x + y = 4    , xy = 3

To Find :   Value of x - y  

Solution:

x² + y ² - 2xy  = x² + y² + 2xy  - 4xy

| x - y | ²  = ( x + y) ²  - 4xy

=> | x - y | ²  = (4) ²  - 4(3)

=>  | x - y | ²  =  16 - 12

=>  | x - y | ²  =  4

=> |x -  y|  =  2  

=>  x - y  =  ± 2

Value of x - y is    ± 2

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