The product of two consecutive positive even numbers is 1,224. find the numbers.

34 and 36.

Step-by-step explanation:

By multiplying 34 by 36 (consecutive positive even numbers) we get 1,224!

The product of two consecutive positive even numbers is 1,224. The numbers are 34 and 36.

Solution:

Given that product of two consecutive positive even number is 1224.

Need to find the numbers

Let one even number be represented by variable x

So other consecutive even number = x + 2

As product is 1224 we can frame a equation as,

we got a quadratic equation. lets solve it by quadratic formula

According to quadratic formula for general equation a + bx + c = 0 , solution of the equation is given by  

So in our case, a = 1, b = 2 and c = -1224

On applying quadratic formula we get

As required number is positive , ignoring the negative value  

x  = 34  

x + 2 = 34 + 2 = 36

Hence two positive even consecutive number having product as 1224 are 34 and 36.  

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step-by-step explanation:

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