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 Algebra >

x^2+(x+105)^2=195^2

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

Solution

x2+(x+105)2=1952

Solution

x=75,x=−180
Solution steps
x2+(x+105)2=1952
Expand x2+(x+105)2:2x2+210x+11025
Expand 1952:38025
2x2+210x+11025=38025
Move 38025to the left side
2x2+210x−27000=0
Solve with the quadratic formula
x1,2​=2⋅2−210±2102−4⋅2(−27000)​​
2102−4⋅2(−27000)​=510
x1,2​=2⋅2−210±510​
Separate the solutionsx1​=2⋅2−210+510​,x2​=2⋅2−210−510​
x=2⋅2−210+510​:75
x=2⋅2−210−510​:−180
The solutions to the quadratic equation are:x=75,x=−180

Graph

Sorry, your browser does not support this application
View interactive graph

Popular Examples

-5(x-10)=-35-3+5+6g=11-3gfactor 2x^2+2x-123x+2(4x+2)>= 2(6x+1)|3a+6|=|4a-6|

Frequently Asked Questions (FAQ)

  • What are the solutions to the equation x^2+(x+105)^2=195^2 ?

    The solutions to the equation x^2+(x+105)^2=195^2 are x=75,x=-180
  • Find the zeros of x^2+(x+105)^2=195^2

    The zeros of x^2+(x+105)^2=195^2 are x=75,x=-180

Popular topics

imaginary number calculatorratio test calculatorasymptote calculatorremainder calculatorlinear approximation calculatorrational equation calculatorabsolute value calculatorriemann sum calculatoracceleration calculatorarea between curves calculatordomain and range calculatorsequence calculatorintegration by parts calculatorslope intercept form calculatoreigenvector calculatortrig identities calculatorpower series calculatortransformation calculatorhours calculatorparabola calculatorpercentage calculatoraverage rate of change calculatorage calculatorvolume calculatorchain rule calculatorconcavity calculatorrow echelon form calculatorp value calculatorend behavior calculatorfourier transform calculatortrinomial calculatorfactor by grouping calculatorimproper integral calculatorrational number calculatormultiplying polynomials calculatorvariable calculatorpemdas calculatorpythagorean theorem calculatorfunction calculatoru substitution calculator
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