Question

write two numbers which differ by 3 and whose product is 54​

Answer 1

Answer:

x = (-6) , y = (-9) OR x = 9 , y = 6

Step-by-step explanation:

Let the two no.s be x & y.

Given that

(I) : x - y = 3

: x = y+3

(II) : x*y = 54

: (y+3)*y = 54

: y^2+3y = 54

: y^ 2+ 3y - 54 = 0

: y^2 +9y - 6y - 54 =0 [ By splitting middle term]

: y(y+9) - 6(y+9) = 0

: y =(-9) OR y=6

: x = y+3 = (-9)+3 = (- 6) [for y= (- 9)]

: x = y+3 = 6+3 = 9 [for y= 6]