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# Power point 1 for technology in education

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### 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*
• 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.