there are 2 numbers with the following properties.

Question

1)the second number is 3 more than the first number.

 

2)the product of the two numbers is 9 more than their sum

 

 

wich of the following represents the possible values of the two numbers?

 

a)-6 and -3

 

b)-4 and -1

 

c)-1 and 4

 

d)-3 and 6

FACTORING INVOLVES THIS WORD PROBLEM

Answer 1

Let the two numbers be x, y

 

y = x + 3

xy = x + y + 9

 

x(x+3) = x + x + 3 + 9

x² + 3x = 2x + 12

x² + x - 12 = 0

(x+4)(x-3) = 0 

 

x = -4, 3

 

your numbers are (-4, -1) or (3, 6)

 

answer b