Completing the Square, Quad form

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SUMMARY

The discussion focuses on the method of completing the square for solving quadratic equations, specifically addressing both basic polynomials and those with a leading coefficient. Users express a need for a quicker approach to using the quadratic formula, which they find time-consuming. The example equations provided include X² + 13x + 18 = 0 and 10X² + 5x + 9. A resource link to a guide on completing the square is shared for further assistance.

PREREQUISITES
  • Understanding of quadratic equations
  • Familiarity with the quadratic formula
  • Basic algebraic manipulation skills
  • Knowledge of polynomial functions
NEXT STEPS
  • Study the method of completing the square in detail
  • Practice solving quadratic equations using the quadratic formula
  • Explore the implications of leading coefficients in quadratic equations
  • Review examples of completing the square from educational resources
USEFUL FOR

Students learning algebra, educators teaching quadratic equations, and anyone seeking to improve their problem-solving speed with polynomial equations.

DiomondJim
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Homework Statement



Hi, I'm not very smart but can someone walk me though the basic completing the square formula for basic polynomials and more advanced ones ( with a variable in front of )

is there a easier and faster way to use quad form because it takes me like 10 minutes per problem to plug it all in.

Homework Equations



some random examples X^2+13x+18=0 and 10X^2+ 5x+9 (no idea if these work out but i just made them up.

The Attempt at a Solution

 
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Can you follow this guide?

http://www.mathsisfun.com/algebra/completing-square.html

Your teacher should have also worked through a few examples in class. If you can't understand these examples, feel free to post them here and ask specific questions about the parts you don't understand.
 

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