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 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 Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded 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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