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# 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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- Anonymous9 years agoFavorite 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!

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