quadratic equation

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quadratic equation

Questions & Discussions » Class X Maths Test series


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Replies : 1	Last Replied :30/01/2010

Views : 110	Go to last reply

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30/01/2010 22:59:40

Title: quadratic equation

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Deepak Kumar

Joined: 23/01/2010

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y=2+1/3+1/2+1/3........

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30/01/2010 23:12:50

Title: Re:quadratic equation

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Abhishek Kapoor

Joined: 28/09/2009

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$y = 2+\frac{1}{3+\frac{1}{2+\frac{1}{3+\ldots}}}\\ \Rightarrow\;y = 2+\frac{1}{3+\frac{1}{y}}\\ \Rightarrow\;y = 2+\frac{y}{3y+1}\\ \Rightarrow\;y = \frac{6y+2+y}{3y+1}\\ \Rightarrow\; 3{y}^{2}+y=7y+2\\ \Rightarrow\; 3{y}^{2}-6y-2=0\\ \Rightarrow\;y=\frac{6\pm\sqrt{36+24}}{6}\\ \Rightarrow\;y=\frac{6\pm 2 \sqrt{15}}{6}\\ \Rightarrow\;y=\frac{3\pm \sqrt{15}}{3}\\ The\;continued\;fraction\;will\;not\;take\;negative\;values\\ (as\;only\;addition\;is\;being\;repeated\;in\;the\;fraction).\\ \Rightarrow\;y=\frac{3+\sqrt{15}}{3}\\$

This message was edited 2 times. Last update was at 30/01/2010 23:14:53

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Questions & Discussions » Class X Maths Test series