Trond Posted August 31, 2005 Share Posted August 31, 2005 Example: x = √3x+7-1 x+1 = √3x+7 (x+1)² = (√3x+7)² x²+2x+1 = 3x+7 Question: Why +2x? x²-6-x = 0 Question: Why -6-x? x = -2 OR x = 3 Question: How can you see the answer will be -2 or 3? Link to comment Share on other sites More sharing options...
BigMoosie Posted August 31, 2005 Share Posted August 31, 2005 At first I thought you had made very strange errors in your working, would I be correct to presume that the very first line is actually this? [math]x = \sqrt{3x+7} - 1[/math] If so the working goes as follows: [math](x + 1)^2 = 3x+7[/math] [math](x + 1)(x+1) = 3x+7[/math] [math]x(x+1) + 1(x+1) = 3x+7[/math] [math]x^2 + x + x+ 1 = 3x+7[/math] [math]x^2 + 2x + 1 = 3x+7[/math] Hopefully that answers your first question. And then we subtract 3x + 7 from both sides: [math]x^2 + 2x + 1 - (3x + 7) = 3x + 7 -(3x + 7)[/math] [math]x^2 - x - 6 = 0[/math] Then factorising: [math](x-3)(x+2) = 0[/math] [math]x-3 = 0[/math] or [math]x+2 = 0[/math] Link to comment Share on other sites More sharing options...
Trond Posted September 6, 2005 Author Share Posted September 6, 2005 Thanks for reply. Long story short, it's been many years so I'm taking lower level of math before I jump into this again. Is there a program I can use to make those symbols and print out? Link to comment Share on other sites More sharing options...
Phi for All Posted September 6, 2005 Share Posted September 6, 2005 Is there a program I can use to make those symbols and print out?Here is a Quick LaTeX Tutorial to help you. Link to comment Share on other sites More sharing options...
VikingF Posted September 6, 2005 Share Posted September 6, 2005 Isn't it called "irrational equations"? (I'm a Norwegian too, so I know what "irrasjonelle likninger" is.) Link to comment Share on other sites More sharing options...
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