Question

Find two consecutive positive integers whose product is 552.

Answer 1

The numbers are 23 and 24

Explanation:

Let

x ----> the first positive consecutive integer

x+1 ----> the second positive consecutive integer

we know that

The product of the two consecutive positive integers is 552

so

The algebraic expression that represent this situation is

`x(x+1)=552`

Convert to expanded form

`x^2+x-552=0`

Solve the quadratic equation by graphing

The roots of the equation are

`x_1=-24` ----> the number cannot be negative

`x_2=23`

see the attached figure

therefore

`x=23\\x+1=24`

The numbers are 23 and 24