Formula use: Simulation calculation on the Sharp EL-520W

The tutor shows another feature of the Sharp EL-520W: simulation calculation, aka repetitive calculations with a formula.

Let’s imagine you’re a middle school math teacher who wants to do a lesson about Pythagorean triples: you want sets of values a, b, c such that a^2 + b^2 = c^2

You start with a few a and b values, finding the c for them. Maybe you make a table:

a b c
1 2 √5
2 2 √8
3 4 5
……….

Of course, you’re probably really interested in sets of values for which c is a whole number:

c=√(a^2+b^2), c any whole number

Using the Sharp El-520W, there’s a convenient way to find such sets of numbers. Sharp calls it simulation calculation. Here is how to enter the formula on the EL-520W:

  1. Press MODE then 0
  2. Press 2nd F then x^2 then (
  3. Press ALPHA, then CNST, then the x^2 key. You’ll see A^2 on the screen.
  4. Continue entering the formula: + ALPHA then the y^x key, then x^2, then ) =
  5. Now, press 2nd F MATH. Your formula will appear, with A flashing. You can key in the value you want for A, then press =, at which time B will start flashing. You can now key in the desired B value, then press =. The value of √(A^2 + B^2) will appear. For instance, if you key in 6 for A and 7 for B, you’ll get 9.219544457 output.

By trying various values of A and B, one can conveniently discover which C values are whole numbers – in this case, thanks to the Sharp EL-520W.

HTH:)

Sources:

Sharp EL-520W Operation Manual.

w3schools

Jack of Oracle Tutoring by Jack and Diane, Campbell River, BC.

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