Conics/Rewriting Parabola into Standard Form

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SUMMARY

The discussion focuses on rewriting the equation of a parabola, specifically the equation 25x² - 10x - 200y - 119 = 0. The recommended approach is to divide the entire equation by 25, rearranging it to isolate y on one side. Completing the square is then suggested as an effective method to convert the equation into standard form.

PREREQUISITES
  • Understanding of quadratic equations
  • Knowledge of completing the square technique
  • Familiarity with standard form of a parabola
  • Basic algebraic manipulation skills
NEXT STEPS
  • Practice completing the square with various quadratic equations
  • Explore the standard form of parabolas in detail
  • Learn about the vertex form of a parabola
  • Investigate the applications of parabolas in physics and engineering
USEFUL FOR

Students studying algebra, mathematics educators, and anyone interested in mastering the manipulation of quadratic equations and understanding parabolic forms.

BigJon
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25x^2-10x-200y-119=0

Should i divide both sides by 25 and then put y and constant to right side of equation and then complete the square?
 
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Be brave. Try it.
 
It worked lol :P
 

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