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02-20-2011
11:42 AM

02-20-2011
11:42 AM

Hello everyone,

I have a question and wish learning. It's about "Irrational Number and Solving Equation".

Thanks in advance.

Regards,

Loi,

Solved! Go to Solution.

1 ACCEPTED SOLUTION

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02-21-2011
02:49 PM

02-21-2011
02:49 PM

sqrt(x)-floor(sqrt(x)) is the non-integer part of sqrt(x). You know that is equal to the right hand side, or to sqrt(7)-2. So you can generate other solutions just be adding an integer to that number.

10 REPLIES 10

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02-20-2011
02:05 PM

02-20-2011
02:05 PM

Re: Irrational Number and Solving Equation.

Your equation requires that the decimal part of sqrt(x) be equal to the expression on the right hand side. However, since there is nothing to specify what the integer part of sqrt(x) has to be, your equation has an infinite number of possible solutions.

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02-21-2011
02:09 PM

02-21-2011
02:09 PM

Re: Irrational Number and Solving Equation.

Thanks for your suggestion, Richard.

Following up the suggestion, above. Checking with x=6; x=7; x=8. We have:

So x=7 is the one of the solutions. And the rests of the solutions are the question.

Thanks in advance.

Regards,

Loi.

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sqrt(x)-floor(sqrt(x)) is the non-integer part of sqrt(x). You know that is equal to the right hand side, or to sqrt(7)-2. So you can generate other solutions just be adding an integer to that number.

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02-21-2011
02:49 PM

02-21-2011
02:49 PM

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02-21-2011
04:24 PM

02-21-2011
04:24 PM

Re: Irrational Number and Solving Equation.

I got it. Many, many thanks, Richard. And I have one more related question in "Mathcad Usage". Is there a press button, doing the following:

transpose --->

Thanks in advance.

Regards,

Loi.

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02-21-2011
05:26 PM

02-21-2011
05:26 PM

Re: Irrational Number and Solving Equation.

No, sorry. You can go from the one on the right to the one on the left just by evaluating symbolically, but I don't think there is a way to reverse it.

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02-21-2011
05:36 PM

02-21-2011
05:36 PM

Re: Irrational Number and Solving Equation.

Thanks again, Richard.

Best regards,

Loi.

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02-23-2011
04:00 PM

02-23-2011
04:00 PM

Re: Irrational Number and Solving Equation.

Just a bit more (all in version 11.2)

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02-24-2011
09:33 PM

02-24-2011
09:33 PM

Re: Irrational Number and Solving Equation.

I greatly appreciate your help, Steen. I have comprehended that as the following:

Many thanks, Steen.

Regards,

Loi.

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02-21-2011
06:00 PM

02-21-2011
06:00 PM

Re: Irrational Number and Solving Equation.

So x=7 is the one of the solutions. And the rests of the solutions are the question.

Is that you sending love to Richard????

Mike

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02-22-2011
02:26 PM

02-22-2011
02:26 PM

Re: Irrational Number and Solving Equation.

Sorry, Mike. It's a half due to my English and a half due to accidentally hit key.

Thanks for reminding me.

Regards,

Loi.