Power point 1 for technology in education
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Power point 1 for technology in education Presentation Transcript

  • 1. The Quadratic Formula By: Samantha Wisner 11:00-12:15 p.m.
  • 2. *History of the Quadratic Formula*
    • The Quadratic Formula can be used to solve any algebraic equation.
  • 3. *History of Quadratic Formula Cond.*
    • The first aspect that finally led to the quadratic equation was the recognition that it is connected to a very pragmatic problem.
  • 4. *History of the Quadratic Formula Cond*
    • Around 700AD the general solution for the quadratic equation, this time using numbers, was devised by a Hindu mathematician called Brahmagupta.
  • 5. *History of the Quadractic Formula Cond.*
    • It is known that the Egyptian wise men (engineers, scribes and priests) were aware of this shortcoming.
  • 6. *First Step*
    • The quadratic equation looks like this:
    • ax ² + bx + c = 0
    • A, B, C are coefficients in the quadratic equation.
    • Need to solve for ‘x’.
  • 7. *Second Step*
    • Example Equation: x ²  4 x  5 = 0
    • Substitute A=1, B= -4, C=-5
  • 8. *Third Step*
    • Solve Equation in this formula:
  • 9. *Fourth Step*
    • Plug in the A, B, C in the Quadratic Formula. A=1, B=-2, C=1
    • So for B plug in –2. For C plug in 1 and for A plug in 1.
  • 10. *Fifth Step*
  • 11. *Sixth Step*
    • Substitute the variables in the equation and solve what is under the radical first.
  • 12. *Seventh Step*
    • Depending on the problem, you will need two answers usually.
    • In this problem, you just need one answer since the number under the radical is 0.
  • 13. *Eighth Step*
    • The very last step you need to add the –2 (B variable) with the radical number and then divide by 2 in this case.
    • Since the variable (A) on the bottom was 1 then you would just divide by two.
  • 14. *Ninth Step*
    • You would multiply the 2 and variable A which would be 1 in this problem.
  • 15. *Tenth Step* *As you can see the two different steps at the end* Add and subtract to get the final two answers.
  • 16. *Eleventh Step* When you substitute a number for the variable B and it is a negative number it becomes a positive number. As shown in the example.
  • 17. *Twelfth Step*
    • A more complex quadratic problem- You simplify the 3 rd step in the example to the –3 + and – radical 5. The last step, simplify the 2 and –8 after by 2…leaving a –4 on the bottom.
  • 18. *Thirteenth Step*
    • Leaving the five under the radical and coming up with two answers 3+ radical 5 and 3 – radical 5.
    • These are some of the examples that will help to solve simple quadratic equations to the more complex ones.
  • 19. Works Cited
    • BBC - H2g2 - The History Behind The Quadratic Formula.&quot; BBC - Homepage . H2g2's Researchers, 13 Oct. 2004. Web. 11 Oct. 2010. <http://www.bbc.co.uk/dna/h2g2/A 2982567>.
    • &quot;Quadratic Formula.&quot; Math Homework Help – Math
      • tutor Software – Algebra Help - Teachers Choice Software . Web. 11 Oct. 2010. <http://www.teacherschoice.com.au/Maths_Library/Algebra/Alg_6.htm>.
  • 20. Works Cited Cont.
    • http://2.bp.blogspot.com/_V8KsSIiGjBk/SsACMEj73KI/AAAAAAAAFIU/vNtErLdchMw/s1600/Quadratic+Formula.gif (Picture)
    • http://www.mathwarehouse.com/quadratic/images/formula_solution_-3_and_1.gif (Picture)
    • http://img.sparknotes.com/content/testprep/powerimgs/algebra/0002/algebra54.gif (Picture)
    • http://www.getenglishlessons.com/wp-content/uploads/2010/01/math_symbol.jpg (Picture)
    • http://www.getenglishlessons.com/wp-content/uploads/2010/01/math_symbol.jpg (Picture)
    • http://sitemaker.umich.edu/356.dobrowski/files/math.bmp (Picture)
    • http://www.ebr.lib.la.us/teens/teenzone/math.png (Picture)
    • http://blogs.edweek.org/edweek/curriculum/upload/2008/10/romanian_rule/math-equations.jpg (Picture)
    • http://blogs.edweek.org/edweek/curriculum/upload/2008/10/romanian_rule/math-equations.jpg (Picture)