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Math Help - Writing Equations - Quadratics

  1. #1
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    Writing Equations - Quadratics

    The product of two consecutive even integers is 16 more than 8 times the smaller integer? Determine the integers.

    How can I write an equation out of this? I have never done this yet. Would it be in the form of ax^2 + bx + c = 0 ? I don't really know how to do this question because how it is worded...
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  2. #2
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    Re: Writing Equations - Quadratics

    You can let one of the integer be x and then get an expression in term of x for the other one. If the integers are consecutive, then if the smaller is x, the other is x+1. Then, by taking the product and adding the constants, you should be able to get an equation solvable for x, the smaller integer.

    I hope this helps.
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  3. #3
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    Re: Writing Equations - Quadratics

    I still need help with this question...
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    Re: Writing Equations - Quadratics

    Set x(x+2) = 8x+16. (Sorry, in the previous post I mistakenly wrote x+1. Since the two integers are consecutive even, their difference is 2)

    Then, by rearranging the two sides you get:

    x^2-6x-16=0.

    Solve this equation and you will get the answer for x. The other integer is just x+2.
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  5. #5
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    Re: Writing Equations - Quadratics

    x^2 - 6x - 16 = 0

    x^2 - 8x + 2x - 16

    (x - 8) (x + 2)

    x = 8 x = -2

    The answer is suppose to be 8 and 10 or 0 and -2
    Last edited by Mathnood768; April 21st 2013 at 11:57 AM.
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