Is there a way to create an equation where the answer is always within a certain range of number (e.g. 1-100)?

Question

I need to know if there is a way to create an equation that always equates to a number in a specific range regardless of which numbers are in the equation itself.

Answer 1

Here's a possibility:

 

y=1 + [99 / (1 + x²)]

 

The x² term cannot be negative, so the "+1" in the denominator eliminates the singularity issue.

 

This function can never exceed 100 and it cannot reach 1.  Don't know if the lower limit being unattainable meets your criteria.  You can get as close as you want, but you can't ever get there.

 

 

Gene

Answer 2

Hello, Richard

 

I hope I understood your question correctly.

Let's  say that you want an equation to have as the answer x=5.  It is very simple, just write an expression that has the variable x, such as

 

1) 3x-8

2) 10-7x

3) 3x-8+ 2x -10

 

Now, make these expressions into equations by evaluating each using 5 as the value of x. So, This is what we have: ( I am using the equations from above): 

 

1) 3*5-8=

    15-8=

      7

 

2) 10- 7*5 =

     10- 35

        25

3) 3*5-8+ 2*5-10

     15 -8 +10- 10

      7+10-10

          17-10

             7

 

Now use these answers with above expressions. So these expressions become equations and ALL of them will have

x=5 as the answer.

 

 

Let me do equation #3

 

3x  - 8 + 2x -10 = 7       Combining like terms

  5x -18 = 7               Adding 18 to both sides

      +18    +18

   5x=  25                     Divide by 5 on both sides

      x= 5

 

Try equations #1  3x-8= 7 or equation #2  10-7x+25, both of them x=5.  This is how you can make up your own equations with a given desired answer.

 

Glad to help out, just read it a couple times... I am sure you will get it.

 

D. Y. Taylor

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