SOLUTION: Please help me answer this question: Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your or

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me answer this question: Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your or      Log On


   

Question 182688: Please help me answer this question:
Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. Did you reached 1 for an answer? You should have. How does this number game work? (Hint: Redo the number game using a variable instead of an actual number and rewrite the problem as one rational expression). How did the number game use the skill of simplifying rational expressions? Create your own number game using the rules of algebra and post it for your classmates to solve. Be sure to think about values that may not work. State whether your number game uses the skill of simplifying rational expressions.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. Did you reached 1 for an answer? You should have. How does this number game work? (Hint: Redo the number game using a variable instead of an actual number and rewrite the problem as one rational expression). How did the number game use the skill of simplifying rational expressions? Create your own number game using the rules of algebra and post it for your classmates to solve. Be sure to think about values that may not work. State whether your number game uses the skill of simplifying rational expressions.
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lets call our number c
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%28%28c%5E2-1%29%2F%28c-1%29%29-c=1.......the reason you cant pick 1 is that would put 1-1
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in the denominator making the equation undefined
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%28c%5E2-1-c%28c-1%29%29%2Fc-1=1found common denominator on left hand side of c-1
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c%5E2-1-c%5E2%2Bc=c-1 distributed left side and multiplied both sides by c-1
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to eliminate the fraction
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c-1=c-1......there you have it..that is why it works for every number except for 1
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the number game could be like this
take a number x
square it x^2
add 2 multiplied by original number to it x^2 + 2x
then add 1... x^2 + 2x + 1
Now divide this number by original number plus 1 ( x^2+2x+1)/(x+1)
Now subtract original number to get %28%28x%5E2%2B2x%2B1%29%2F%28x%2B1%29%29-x+=+1
yes this game using skill of simplifying rational expressions.
%28x%5E2%2B2x%2B1%29%2F%28x%2B1%29+=+%28x%2B1%29%28x%2B1%29%2F%28x%2B1%29+=+x%2B1
The game will not work for x = -1