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thesilverlark2

  • 2 years ago

A curve with the equation y= -(x+p)(x+q) cuts the x-axis at the points A(-2,0) and B(6,0). Write down the values of p and q.

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  1. UnkleRhaukus
    • 2 years ago
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    the curve cuts the axis when y=0

  2. thesilverlark2
    • 2 years ago
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    So sub A(-2,0) into the equation? I got stuck because there were too many unknowns :/

  3. Mertsj
    • 2 years ago
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    Write a system of two equations. For the first equation, replace x with -2 and y with 0. For the second equation replace x with 6 and y with 0. Now you have two equations with variables p and q. Solve the system.

  4. thesilverlark2
    • 2 years ago
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    I got stuck again. Ended up with q+p=-4 .

  5. hartnn
    • 2 years ago
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    p+q=-4 is correct, now substitute back in pq+36+6(p+q)=0 to get pq=-12 can u find p and q knowing p+q=-4 and pq= -12 ???

  6. thesilverlark2
    • 2 years ago
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    yeah I got it (: Thank you!

  7. hartnn
    • 2 years ago
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    welcome :)

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