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 square of a number is equal to 72 more than the number. Find all such numbers.

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

Solution

Thesquareofanumberisequalto72morethanthenumber.Findallsuchnumbers.

Solution

Thenumber:9or−8
Solution steps
Represent the number with x
A.T.Q.:x2=72+x
Solve for x,x2=72+x:x=9,x=−8
Thenumber:9or−8

Popular Examples

twice a number minus 4 is less than three times the numberThe present of Abdul ’s father is three times the present age of Abdul. After six years sum of their ages will be 69 years. Find their present ages.The Anderson's took out a loan for 195,000 to purchase a home. At 4.3% interest rate compounded annually, how much will they have paid after 30 years?How much should be invested now at an interest rate of 7% per year, compounded continuously, to have \$2500 in five years?sum of 2 consecutive numbers is 139
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