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Irrational Number and Solving Equation.

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Alexandrite

Irrational Number and Solving Equation.

Hello everyone,

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

(1).PNG

(2).PNG

Thanks in advance.

Regards,

Loi,

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1 ACCEPTED SOLUTION

Accepted Solutions
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Re: Irrational Number and Solving Equation.

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.

View solution in original post

10 REPLIES 10
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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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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:

substitute,x=6,False.PNGx=6,False.PNG

substitute,x=7,True.PNGx=7,True.PNG

subtitute,x=8,False.PNGx=8,False.PNG

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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Re: Irrational Number and Solving Equation.

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.

View solution in original post

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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:

1.PNG transpose ---> 2.PNG

Thanks in advance.

Regards,

Loi.

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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Re: Irrational Number and Solving Equation.

Thanks again, Richard.

Best regards,

Loi.

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Re: Irrational Number and Solving Equation.

Just a bit more (all in version 11.2)

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Re: Irrational Number and Solving Equation.

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

Transpose-confract-sqrt(61).PNG

(61).PNG

Many thanks, Steen.

Regards,

Loi.

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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

http://communities.ptc.com/servlet/JiveServlet/showImage/2-149416-2532/bar_anim.gif

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Re: Irrational Number and Solving Equation.

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

1.PNG 2.PNG

Thanks for reminding me.

Regards,

Loi.

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