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.

الحلّ

الحلّ

The numbers : 6, 7

خطوات الحلّ

Represent the numbers with

x

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 42

x (x + 1) = 42

حلّ:

x = 6, x = - 7

Select positive solutions:

6

x + 1 = 6 + 1 = 7

The numbers : 6, 7

أمثلة شائعة

The sum of 4 consecutive integers is-54 . What is the greatest integer?plane can fly 1020 miles in the same time as it takes a car to go 360 miles. If the car travels 110 mph slower than the plane, find the speed of the plane.The difference between two positive numbers is 7 and the square of their sum is 289 . Find the two numbers.Train A and Train B are traveling in completely opposite directions. Train A is going 100 km per hour. Train B is going 200 km per hour. How long will it take them to be 900 km apart from each other?three more than twice a number is nine