text: My Math Forum Where did this exponent come from?
  
   Algebra Pre-Algebra and Basic Algebra Math Forum
  
   April 30th, 2015, 10:00 AM #1 Member   Joined: Feb 2014 Posts: 91 Thanks: 1 Where did this exponent come from? Not sure about this, please assist.
   April 30th, 2015, 10:37 AM #2 Math Team     Joined: Jul 2011 From: Texas Posts: 3,034 Thanks: 1621 you were given ... $y^2=5-x^2$ $y = x-1$ substitute $(x-1)$ for $y$ in the first equation ... $(x-1)^2 = 5-x^2$
   April 30th, 2015, 10:39 AM #3 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 You are given the two equations $\displaystyle x^2+ y^2= 5$ and $\displaystyle x- y= 1$. Subtrating $\displaystyle x^2$ from both sides of the first equation, $\displaystyle y^2= 5- x^2$ Adding y to both sides of the second equation, $\displaystyle x= 1+ y$. Subtracting 1 from both sides of that equation, $\displaystyle x- 1= y$ So we can replace y by x- 1 in $\displaystyle y^2= 5- x^2$: $\displaystyle (x- 1)^2= 5- x^2$. Essentially then the exponent, 2, in that equation come form the exponent on y in the equation $\displaystyle x^2+ y^2= 5$.
   May 1st, 2015, 07:21 PM #4 Senior Member     Joined: Nov 2010 From: Indonesia Posts: 2,001 Thanks: 132 Math Focus: Trigonometry If you are that confused, just write y = y between the second and the third line, hope you understand.
  
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   Similar Threads Thread Thread Starter Forum Replies Last Post bml1105 Algebra 12 July 27th, 2014 11:40 AM Thinkhigh Calculus 3 March 2nd, 2012 06:42 AM duncanrager Algebra 5 March 12th, 2011 05:23 PM xnarutox Algebra 3 October 27th, 2010 06:49 PM nicolodn Elementary Math 1 October 10th, 2010 01:54 AM
  
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explanation: The provided text is a forum thread from "My Math Forum" where a user asks a question about an exponent in an algebraic equation. The thread contains the original question and two responses that provide explanations and solutions to the problem.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
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  1. Briefly describe the document and mention if it contains a question or a question and answer.
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distilabel_metadata.content: My Math Forum Where did this exponent come from?
  
   Algebra Pre-Algebra and Basic Algebra Math Forum
  
   April 30th, 2015, 10:00 AM #1 Member   Joined: Feb 2014 Posts: 91 Thanks: 1 Where did this exponent come from? Not sure about this, please assist.
   April 30th, 2015, 10:37 AM #2 Math Team     Joined: Jul 2011 From: Texas Posts: 3,034 Thanks: 1621 you were given ... $y^2=5-x^2$ $y = x-1$ substitute $(x-1)$ for $y$ in the first equation ... $(x-1)^2 = 5-x^2$
   April 30th, 2015, 10:39 AM #3 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 You are given the two equations $\displaystyle x^2+ y^2= 5$ and $\displaystyle x- y= 1$. Subtrating $\displaystyle x^2$ from both sides of the first equation, $\displaystyle y^2= 5- x^2$ Adding y to both sides of the second equation, $\displaystyle x= 1+ y$. Subtracting 1 from both sides of that equation, $\displaystyle x- 1= y$ So we can replace y by x- 1 in $\displaystyle y^2= 5- x^2$: $\displaystyle (x- 1)^2= 5- x^2$. Essentially then the exponent, 2, in that equation come form the exponent on y in the equation $\displaystyle x^2+ y^2= 5$.
   May 1st, 2015, 07:21 PM #4 Senior Member     Joined: Nov 2010 From: Indonesia Posts: 2,001 Thanks: 132 Math Focus: Trigonometry If you are that confused, just write y = y between the second and the third line, hope you understand.
  
   Tags exponent
  
   Thread Tools Display Modes Linear Mode
  
   Similar Threads Thread Thread Starter Forum Replies Last Post bml1105 Algebra 12 July 27th, 2014 11:40 AM Thinkhigh Calculus 3 March 2nd, 2012 06:42 AM duncanrager Algebra 5 March 12th, 2011 05:23 PM xnarutox Algebra 3 October 27th, 2010 06:49 PM nicolodn Elementary Math 1 October 10th, 2010 01:54 AM
  
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distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The provided text is a forum thread from "My Math Forum" where a user asks a question about an exponent in an algebraic equation. The thread contains the original question and two responses that provide explanations and solutions to the problem.
  
  Label: question-and-answer