As accurately as possible draw a curve in the real space R2

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SUMMARY

The discussion centers on the equation of a curve in the real space R², specifically the quadratic equation 3x² - 8xy + 3y² = 1. The equation can be factorized into 3(y - 3x)(y + x/3) = 1, which provides insights into the shape and orientation of the curve. The thread was ultimately locked due to its classification as a misplaced homework question.

PREREQUISITES
  • Understanding of quadratic equations in two variables
  • Familiarity with factorization techniques
  • Knowledge of Cartesian coordinate systems
  • Basic concepts of conic sections
NEXT STEPS
  • Study the properties of conic sections and their equations
  • Learn about graphing quadratic equations in R²
  • Explore advanced factorization methods for polynomials
  • Investigate the implications of curve orientation in coordinate geometry
USEFUL FOR

Mathematics students, educators, and anyone interested in understanding the graphical representation of quadratic equations in two dimensions.

starterYEAR
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-3x2 - 8x*y + 3y2 = 1 .

Specifie also the axis of the given curve.
 
Last edited by a moderator:
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starterYEAR said:
3x2 - 8x*y + 3y2 = 1 .
After factorization: 3⋅(y-3x)⋅(y+x/3).
 
Misplaced homework question, so I am locking the thread.
 

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