Download - 5) quadratic equations
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Quadratic Equations
Bytheendofthelesssonyouwillbeableto:
Solvequadraticequationsbydifferentmethods.
Anticipatethenumberofsolutionsofaquadraticequationbystudyingitsdiscriminant.
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Quadratic equations
by factorisation
using GDC
by formula
by completing the square
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Solvetheequation:
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Solvetheequation:
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Usethequadraticformulatosolvetheequation:
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SimplifyandthenuseyourGDCtosolvetheequation:
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UseyourGDCtosolvetheequations:
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The quantity is called the
discriminant of the quadratic equation.
>0
=0
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>0 =0
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Calculatethediscriminantofthequadraticexpression
Henceshowthat isalwayspositive
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Findthepossiblevaluesoftheconstantksuchthattheequation
hasonesolution.
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Considertheequation2x2+kx+2=0wherekisaconstant.Stateforwhichvaluesofktheequationhas
(a)twoequalroots.(b)noroot.(c)twodistinctroots.
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SolveEx1Dpage19
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Attachments
qformula.wma
SMART Notebook
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