Question

Express 120 as a product of two numbers, one of which is 2 less than the other.

Answer 1

Answer:

12 and 10   and

-12 and - 10

Step-by-step explanation:

Givens

Larger number = x

Smaller number = x - 2

Equation

x*(x - 2) = 120

Solution

Remove the brackets

x^2 - 2x = 120    

Subtract 120 from both sides

x^2 - 2x - 120 = 0  Factor

(x - 12)(x + 10) = 0

x - 12 = 0

x - 12 + 12 = 12

the other number is 2 less than this one or x = 10

=================

x + 10 = 0

x = - 10

The number that is 2 less than this one is

x = -10 -2

x = -12