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Find two consecutive positive integers whose product is 552.

1 Answer

1 vote

Answer:

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

Find two consecutive positive integers whose product is 552.-example-1
User Julio Cachay
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