Question

9. The solution of the equations x - y = 2 and xy= 4 is
(A) 3 and 5
(B) 5 and 3
(C) 3 and 1
(D)-1 and 3​

Answer 1

Answer:

either question is wrongly written or option is none of these because we get x and y values 1+√5 and √5-1 respectively.

Step-by-step explanation:

(x-y)^2= (x+y)^2 - 4xy

4 = (x+y)^2 - 4*4

(x+y)^2 = 20

x+y = 2√ 5

now

x-y+x+y=2+2√5

2x = 2 (1 + √5)

x = 1+√5

and

y = √5- 1