Thursday, March 5, 2009

Question 5: Extend the Learning....



The graph drawn shows a curve produced based on a quadratic equation.



With the curve in mind, how many answers do you think there will be for a pair of simultaneous equations where one is a quadratic equation and the other is a linear equation?








7 comments:

  1. Three? I am not sure.

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  2. i don't know this one.

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  3. I think there would be two answers as the curves goes up and then goes down. It would be impossible for a straight line to intersect only once with the curve.

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  4. haha dunno.
    nvr do before XD

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  5. There is a reason why the heading is 'extend your learning'- have not been taught but challenge yourself!

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  6. A quadratic equation has two solutions whereas a linear equation has one solution. Therefore, I think there will be three solutions or answers.

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  7. It depends. Considering the curve shown above:-
    There is only 1 solution if the linear equation is a tangent to the quadratic function or its gradient is undefined.
    Or else, it will have 2 solutions;assuming the linear equation does intersect(s) the quadratic function

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