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5) quadratic equations

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4XDGUDWLF (TXDWLRQV By the end of the lessson you will be able to : • Solve quadratic equations by different methods. • Anticipate the number of solutions of a quadratic equation by studying its discriminant.

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  • Quadratic Equations

    Bytheendofthelesssonyouwillbeableto:

    Solvequadraticequationsbydifferentmethods.

    Anticipatethenumberofsolutionsofaquadraticequationbystudyingitsdiscriminant.

  • Quadratic equations

    by factorisation

    using GDC

    by formula

    by completing the square

  • Solvetheequation:

  • Solvetheequation:

  • Usethequadraticformulatosolvetheequation:

  • SimplifyandthenuseyourGDCtosolvetheequation:

  • UseyourGDCtosolvetheequations:

  • The quantity is called the

    discriminant of the quadratic equation.

    >0

    =0

  • >0 =0

  • Calculatethediscriminantofthequadraticexpression

    Henceshowthat isalwayspositive

  • Findthepossiblevaluesoftheconstantksuchthattheequation

    hasonesolution.

  • Considertheequation2x2+kx+2=0wherekisaconstant.Stateforwhichvaluesofktheequationhas

    (a)twoequalroots.(b)noroot.(c)twodistinctroots.

  • SolveEx1Dpage19

  • Attachments

    qformula.wma

    SMART Notebook

    Page 1Page 2Page 3Page 4Page 5Page 6Page 7Page 8Page 9Page 10Page 11Page 12Page 13Attachments Page 1


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