Search
GeoGebra
  • Home
  • Resources
  • Profile
  • Classroom
  • App Downloads

Problem 6_3 (B)

Author:angela

6_3

One root of the cubic equation is the geometric mean of the other two roots. Solve the equation.

Solution:

Suppose , , and are roots with (geometric mean), then 1- 2- --> --> so . (x-3)=0. The two other roots from quadratic formula.

New Resources

  • Pythagorean Template: Integer Legs
  • Pythagorean Theorem: Extension Exercises
  • What Do You See? (2)
  • What Do You See?
  • Untitled

Discover Resources

  • Perpendicular from centre to chord bisects chord
  • Mr. Fraser-deHaan's Transformations
  • TetraHedron3D_1
  • The Unit Circle
  • Pascal Mod 2 - 16
  • Sierpinski Triangle

Discover Topics

  • Reflection
  • Boxplot
  • Standard Deviation
  • Probability
  • Linear Programming or Linear Optimization
AboutPartnersHelp Centre
Terms of ServicePrivacyLicense
Graphing CalculatorCalculator SuiteMath Resources

Download our apps here:

Download_on_the_App_Store_Badge_US-UK_RGB_blk_4SVG_092917

© 2026 GeoGebra®