Solutions
Integral CalculatorDerivative CalculatorAlgebra CalculatorMatrix CalculatorMore...
Graphing
Line Graph CalculatorExponential Graph CalculatorQuadratic Graph CalculatorSin graph CalculatorMore...
Calculators
BMI CalculatorCompound Interest CalculatorPercentage CalculatorAcceleration CalculatorMore...
Geometry
Pythagorean Theorem CalculatorCircle Area CalculatorIsosceles Triangle CalculatorTriangles CalculatorMore...
Tools
NotebookGroupsCheat SheetsWorksheetsPracticeVerify
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 462 . What are the integers?

  • Pre Algebra
  • Algebra
  • Pre Calculus
  • Calculus
  • Functions
  • Linear Algebra
  • Trigonometry
  • Statistics
  • Physics
  • Chemistry
  • Finance
  • Economics
  • Conversions

Solution

Theproductoftwoconsecutiveintegersis462.Whataretheintegers?

Solution

Thenumbers:21,22or−22,−21
Solution steps
Represent the numbers with x:
Firstnumber:x
Consecutivenumber:x+1
A.T.Q.:x(x+1)=462
Solve x(x+1)=462:x=21,x=−22
Plug in x=21:22
Plug in x=−22:−21
Thenumbers:21,22or−22,−21

Popular Examples

make a number story for 3/4 × 5/8twice a number increased by 7ten less than the square of a number , aVincent took out a 500 loan to buy a new couch. He paid back the loan in 2 years and paid an interest of 70. What was the simple interest rate for his loan?An art gallery owns a sculpture that is valued at 34,055. The gallery owner estimates that its value will increase by 6% every year. If the owner is correct, then how much will it be worth in 15 years?
Study ToolsAI Math SolverPopular ProblemsWorksheetsStudy GuidesPracticeCheat SheetsCalculatorsGraphing CalculatorGeometry CalculatorVerify Solution
AppsSymbolab App (Android)Graphing Calculator (Android)Practice (Android)Symbolab App (iOS)Graphing Calculator (iOS)Practice (iOS)Chrome ExtensionSymbolab Math Solver API
CompanyAbout SymbolabBlogHelp
LegalPrivacyTermsCookie PolicyCookie SettingsDo Not Sell or Share My Personal InfoCopyright, Community Guidelines, DSA & other Legal ResourcesLearneo Legal Center
Social Media
Symbolab, a Learneo, Inc. business
© Learneo, Inc. 2024