Question

Rayi multiplied 2 numbers and got -4 as the product. He then subtracted the second number from the first and got the answer as 5. What are the two numbers?

Answer 1

Step-by-step explanation:

let first number = x

second number = y

According to question,

x*y = -4

xy = -4

x-y = 5 ......(i)

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

(5)^2 = x^2 + y^2 -2*-4

25 = x^2 + y^2 -(-8)

25 = x^2 + y^2 +8

x^2 + y^2 = 25-8 = 17

(x+y)^2 = x^2 + y^2 +2xy(ii

(x+y)^2 = 17 + (-8)

(x+y)^2 = 17 - 8

(x+y)^2 = 9

(x+y) = √9

(x+y) = 3 ......(ii)

from (i) and (ii)

add (i) and (ii) ,

2x = 8

x = 4

putting value of x in (ii)

4 + y = 3

y = 3-4

y = -1

Numbers are 4 and -1