Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago

How can i turn k-1-(12/k-1)=1 into a quadratic.. PLEASE HELP ME...THANKS!!?

k-1-(12/k-1)=1

what are the steps to make it into ax^2+bx+c form...please help me...thankyou!

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  • Anonymous
    9 years ago
    Favorite Answer

    k - 1 - 12/(k - 1) = 1

    Multiply both sides by k - 1 to get..

    k(k - 1) - k + 1 - 12 = k - 1

    k² - k - k - 11 = k - 1

    k² - 2k - 11 = k - 1

    Bring k - 1 to the left to get..

    k² - 2k - k - 11 + 1 = 0

    k² - 3k - 10 = 0 [Answer to your question]

    Factoring, we obtain:

    (k - 5)(k + 2) = 0

    Finally, by zero-product property..

    k - 5 = 0 and k + 2 = 0

    k = {5, -2}

    I hope this helps!

    Source(s): Knowledge
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