Warmup: Fully factor x4 81 - WordPress.com file3x² 6x + 7 = 0 4. 5x² 2x + 1 = 0. Section 4.4...
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Section 4.4 Notes.notebook 1 November 19, 2015 Warmup: Fully factor x 4 81
Transcript of Warmup: Fully factor x4 81 - WordPress.com file3x² 6x + 7 = 0 4. 5x² 2x + 1 = 0. Section 4.4...
Section4.4Notes.notebook
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Warmup:
Fullyfactorx481
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4.4TheQuadraticFormula1)Developthequadraticformula
2)Solvequadraticequationsusingthequadraticformula
3)Usethediscriminanttodeterminethenatureoftherootsofaquadraticequation.
4)Solveproblemsinvolvingquadraticequations.
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DerivingtheQuadraticFormulafromCompletingtheSquare
ax+bx+c=0
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Examples:
1.x+15x+54=0 2.x+8x12=0
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LessonFocus: Examples
4.4SolvingQuadraticsbyQuadraticFormula
4.4SolvingQuadraticsbyQuadraticFormula
Examples:
3.3x6x+7=0 4.5x2x+1=0
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TheDiscriminant
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LessonFocus: theDiscriminant
4.4SolvingQuadraticsbyQuadraticFormula
4.4SolvingQuadraticsbyQuadraticFormula
Relationshipbetweenthevalueofthediscriminantandthesolutionstoaquadraticequation:
b4ac>0 b4ac=0 b4ac
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Example1:
2x+3x10=0
Example2:
3x7x+5=0Example3:
9x12x+4=0
Withoutsolving,determinethenatureoftherootsbyusingthediscriminant.
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Application:Thepathofonejumpcanbemodelledbythefunction:
h(d)=2d+4dwhereh(d)metresistheheightofthejumper,anddmetresisthehorizontaldistanceofthejumperfromthepointoftakeoff.Iftheheightofthebaris2.1m,canthejumpermakethejump?Explain.
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h(d)=2d+4d
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WordProblems:4.1page215#5,8,94.2page230#11,14,16,174.3page241#8,9,11,124.4page255#8,12,15
Attachments
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SMART Notebook
Page 1: May 7-8:54 AMPage 2: Oct 29-9:23 AMPage 3: Nov 24-8:55 AMPage 4: Oct 29-9:26 AMPage 5: examples 3&4Page 6: May 7-8:52 AMPage 7: the discriminantPage 8: Oct 29-9:29 AMPage 9: Oct 29-9:31 AMPage 10: Nov 25-10:42 AMPage 11: Oct 29-9:32 AMAttachments Page 1
