SOLUTION: the product of two numbers is 48. One number is 2 less than the other. what are the numbers? a X b = 48 , a = b - 2 , (b - 2) x b = 48

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Question 818671: the product of two numbers is 48. One number is 2 less than the other. what are the numbers? a X b = 48 , a = b - 2 , (b - 2) x b = 48
Answer by jhunjiro(67)   (Show Source): You can put this solution on YOUR website!
Solution:
(b - 2) x b = 48
b^2 -2b=48
b^2-2b-48=0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=196 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 8, -6. Here's your graph:


Final Answer:
b=8
a=6
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