Let x, y, n be integers. I explore x and y for 1 through 15. I use an HP 32Sii to help me with the calculations.
x^2 + y^2 = n^3
2^2 + 2^2 = 2^3
2^2 + 11^2 = 5^3
5^2 + 10^2 = 5^3
Program:
LBL A
x^2
x<>y
x^2
+
3
1/x
y^x
RTN
x^3 + y^3 = n^2
1^3 + 2^3 = 3^2
2^3 + 2^3 = 4^2
8^3 + 4^3 = 24^2
8^3 + 8^3 = 32^2
Program:
LBL B
3
y^x
x<>y
3
y^x
+
√
RTN
x^2  y^2 = n^3, x > y
15^2  10^2 = 5^3
15^2  3^2 = 6^3
14^2  13^2 = 3^3
10^2  6^2 = 4^3
6^2  3^2 = 3^3
3^2  1^2 = 2^3
Program:
LBL C
x^2
x<>y
x^2
x<>y

3
x√y
RTN
x^3  y^3 = n^2, x > y
14^3  7^3 = 49^2
10^3  6^3 = 28^2
8^3  7^3 = 13^2
Program:
LBL D
3
y^x
x<>y
3
y^x
x<>y

√
RTN
If you want to find more integer triplets, happy exploring!
To all the dads out there  Happy Father's Day! To my dad, I am so proud of you!
Until next time,
Eddie
Happy One Week from the Summer Solstice!
This blog is property of Edward Shore. 2013
A blog is that is all about mathematics and calculators, two of my passions in life.
Sunday, June 16, 2013
Integers: x^2 + y^2 = n^3, x^3 + y^3 = n^2, x^2  y^2 = n^3, x^3  y^3 = n^2
Subscribe to:
Post Comments (Atom)
Expanding Linear Regression
Expanding Linear Regression Introduction – Linear Regression All scientific calculators that have twovariable dimensions has cu...

Casio fx991EX Classwiz Review Casio FX991EX The next incarnation of the fx991 line of Casio calculators is the fx991 EX. ...

TI36X Pro Review This is a review of the TI36X Pro Calculator by Texas Instruments. History Originally, this was the TI30X Pro that w...

One of the missing features of the TI82/83/84 family is the ability to convert between bases. Here are two programs in TIBasic to help...
No comments:
Post a Comment