Question

The product of two consecutive even number is 4224. what is smaller number?

Answer 1

smaller number is 62 and -64

Answer 2

Answer:

Step-by-step explanation:

Let the first even number be n

So, the next even number = n+2

Since we are given that The product of two consecutive even number is 4224

$n(n+2)=4224$

$n^2+2n=4224$

$n^2+2n-4224=0$

$n^2+66n-64n-4224=0$

$n(n+66)-64(n+66)=0$

$(n+66)(n-64)=0$

So, n = -66 or n = 64

when n = - 66

n+2 = - 66+2 = -64

So, the smallest number is -66

When n = 64

n+2 = 64+2 =66

So, the smallest number is 64.