SOLUTION: If the sum of 2 numbers is 12 and their product is 32, what are the numbers? Let x = one number Let 12-x = the other number x(12-x) = 32 -x^2 + 12x + 32 (x + 8) (x + 4)

Algebra ->  Human-and-algebraic-language -> SOLUTION: If the sum of 2 numbers is 12 and their product is 32, what are the numbers? Let x = one number Let 12-x = the other number x(12-x) = 32 -x^2 + 12x + 32 (x + 8) (x + 4)       Log On


   

Question 396657: If the sum of 2 numbers is 12 and their product is 32, what are the numbers?
Let x = one number
Let 12-x = the other number
x(12-x) = 32
-x^2 + 12x + 32
(x + 8) (x + 4)
The two numbers are (8, 4)
Substitution: 8(12-8) = 8(4)=32

Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

If the sum of 2 numbers is 12 and their product is 32, what are the numbers? 

Let x = one number

Let 12-x = the other number 

x(12-x) = 32

12x - x^2 = 32

 x^2- 12x + 32 = 0   |Note: ading x^2 and subtracting 12x from both sides

(x-4)(x-8) = 0

 x = 4, the other 8

OR x = 8, the other 4

The two number are 4 and 8