The product of two consecutive positive even integers is 24. Find the integers.

The two consecutive even integers

:

(

4

,

6

)

or

(

−

6

,

−

4

)Step-by-step explanation:

n

and

n

−

2

be the two consecutive even integers,where

n

∈

Z

Product of

n

and

n

−

2

is 24

i

.

e

.

n

(

n

−

2

)

=

24

⇒

n

2

−

2

n

−

24

=

0

Now,

[

(

−

6

)

+

4

=

−

2

and

(

−

6

)

×

4

=

−

24

]

∴

n

2

−

6

n

+

4

n

−

24

=

0

∴

n

(

n

−

6

)

+

4

(

n

−

6

)

=

0

∴

(

n

−

6

)

(

n

+

4

)

=

0

∴

n

−

6

=

0

or

n

+

4

=

0

...

→

[

n

∈

Z

]

⇒

n

=

6

or

n

=

−

4

(

i

)

n

=

6

⇒

n

−

2

=

6

−

2

=

4

So,the two consecutive even integers

:

(

4

,

6

)

(

i

i

)

)

n

=

−

4

⇒

n

−

2

=

−

4

−

2

=

−

6

So,the two consecutive even integers

:

(

−

6

,

−

4

)

im alright what do you need

step-by-step explanation: