Quadratic Equation Kajianp1

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  • 8/2/2019 Quadratic Equation Kajianp1

    1/2

    MINGGU 2

    SPM 2003

    1. Solve the quadratic equation

    2 ( 4) (1 )( 2)x x x x . Give your answer

    correct to four significant figures.[3 marks]

    2. The quadratic equation x (x+1) = px 4 has

    two distinct roots.. Find the range of values of p.[3 marks]

    SPM 2004

    1. From the quadratic equation which has the

    roots -3 and1

    2. Give your answer in the

    form2

    0ax bx c , where a, b and c areconstants.

    [2 marks]

    SPM 2005

    1. Solve the quadratic equation

    (2 5) 2 1x x x . Give your answer correct to

    three decimal places.[3 marks]

    SPM 2006

    1. A quadratic equation2

    9 2x px x has

    two equal roots. Find the possible values ofp .

    [3 marks]

    SPM 2007

    1. a. Solve the following quadratic equations2

    3 5 2 0x x [2 marks]

    b. The quadratic equation2

    3 0hx kx ,

    where h and k are constants, has twoequal roots.

    Express h in terms of k.[2 marks]

    SPM 2008

    1. It is given that -1 is one of the roots of the

    quadratic equation2

    4 0x x p . Find the

    value of p .[2 marks]

    SPM 2009

    1. The quadratic equation, where p is a constant, has two different roots.

    Find the range of values ofp.

    [3 marks]

    SPM 2010

    1. The quadratic equation,

    ( ) wherepis a constant, has two different roots.Find the range of values ofp

    [3 marks]

    SPM 2011

    1. The quadratic equation,

    () where mis a constant, has two equal roots.Find the value ofm.

    [3 marks]

    Common Formula

    Two equal roots

    Two different roots

    No real roots

    * Remember to write all equations in

    General form before you start

    working on it.

  • 8/2/2019 Quadratic Equation Kajianp1

    2/2

    MINGGU 2

    ClonesSPM 2003

    1. Solve the quadratic equation

    ( ) . Give your answer correctto four significant figures.

    [3 marks]

    2. The quadratic equation x (x+2) = px +5 hastwo distinct roots.. Find the range of values of p.

    [3 marks]

    SPM 2004

    1. From the quadratic equation which has the

    roots 2 and . Give your answer in the

    form2

    0ax bx c , where a, b and c are

    constants.[2 marks]

    SPM 2005

    1. Solve the quadratic equation

    (2 5) 2 1x x x . Give your answer correct to

    three decimal places.

    [3 marks]

    SPM 2006

    1. A quadratic equation ( ) ( )has two equal roots. Find the possiblevalues of k .

    [3 marks]

    SPM 2007

    1. a. Solve the following quadratic equations

    [2 marks]

    b. The quadratic equation , where

    and are constants, has two equalroots.

    Express in terms of .[2 marks]

    SPM 2008

    1. It is given that is one of the roots of thequadratic equation . Find thevalue of p .

    [2 marks]

    SPM 2009

    1. The quadratic equation, where p is a constant, has two different roots.Find the range of values ofp.

    [3 marks]

    SPM 2010

    1. The quadratic equation,

    ( ) wherepis a constant, has two different roots.

    Find the range of values ofk[3 marks]

    SPM 2011

    1. The quadratic equation,

    () where mis a constant, has two equal roots.Find the value ofp.

    [3 marks]

    Common Formula

    Two equal roots

    Two different roots

    No real roots

    * Remember to write all equations inGeneral form before you start

    working on it.