en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

The product of two consecutive integers is 420. Which quadratic equation can be used to find x, the lesser number

Solution

T h e p ro d u c t o f tw o co n sec u t i v e in t e g ers i s 420. Whi c h q u a d r a t i c e q u a t i o n c an b e u se d t o f in d x, t h e l esser n u mb er

Solution

The numbers : 20, 21 or - 21, - 20

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 420

Solve

x (x + 1) = 420 : x = 20, x = - 21

Plug in

x = 20 : 21

Plug in

x = - 21 : - 20

The numbers : 20, 21 or - 21, - 20

Popular Examples

When 70% of a number is added to the number, the result is 255.two less than a number If the sum of three times a number and two times the same number is increased by 3, the result is 28. Find the number.calculate the simple interest earned on an investment of 6600 at 2.5% per quarter for 10 years. Give your answer to the nearest cent.Find the present value, using the present value formula to achieve 1005 in 7 years at 5% interest compounded monthly. Type your answer to the nearest hundredths.