Question

The product of two consecutive positive even numbers is 528. What are the numbers?

Answer 1

Answer:

22,24

Step-by-step explanation:

(x)(x+2)=528

x^2+2x=528

x^2+2x-528=0

(x+24)(x-22)

x=-24,22

Can't be negative

22+2=24

22,24

Answer 2

Answer:

22 and 24

Step-by-step explanation:

You can label the two consecutive positive integers as  x and (x+2).

So, we know their product is:  x*(x + 2) = 528

Here we simply solve this equation.

xx + 2x = 528

xx + 2x - 528 = 0

x = -1  +  root (4 - 4*(-528) )/2

x = -1 + 46/2

x = -1 + 23

x = 22

and the other is 24