Question

The product two consequences positive even numbers is 728. Find the smaller of the two numbers. The smaller number is

Answer 1

Let the first number = n

So second number = n+2

the product of number is 728.

That mean:

`n(n+2)=728`

Solve the equation:

`\begin{gathered} n(n+2)=728 \\ n^2+2n=728 \\ n^2+2n-728=0 \end{gathered}`
`\begin{gathered} n^2+2n-728=0 \\ n^2+28n-26n-728=0 \\ n(n+28)-26(n+28)=0 \\ (n+28)(n-26)=0 \\ n=-28;n=26 \end{gathered}`

For positive number is n=26.

scond number is:

`\begin{gathered} =n+2 \\ =26+2 \\ =28 \end{gathered}`

So smaller number is 26.