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The product of two consecutive positive integers is 42. Write and solve a quadratic equation to find the solutions. Then show how you use those solutions to find the two consecutive positive integers.

Solution

Solution

The numbers : 6, 7

Solution steps

Represent the numbers with

x

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 42

Solve

x (x + 1) = 42 : x = 6, x = - 7

Select positive solutions:

6

x + 1 = 6 + 1 = 7

The numbers : 6, 7

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