Calculates partial fraction decomposition (Expansion/Arithmetic)

Author: shiroeExecutions: 116

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This tool calculates partial fraction decomposition.
Assume that both the numerator and denominator are numbers, not algebraic expressions.
This is not the partial fraction expansion used to prepare for integration; rather, it decomposes a fraction with specific numerical values in the numerator and denominator
into two fractions.
The two resulting fractions are unit fractions.
The numerator of the original fraction to be decomposed is the difference between the denominators of the two unit fractions resulting from the decomposition.
The denominator of the original fraction to be decomposed is the product of the denominators of the two unit fractions resulting from the decomposition.
The form of the expression is
n/m = (1/a) - (1/b).
We expand the left-hand side into the right-hand side.
Find the integers a and b such that
n = b − a
and
m = a × b
(Note that b − a is subtraction and a × b is multiplication).
(b − a is subtraction, and a × b is multiplication)

Enter n, the numerator of the fraction you want to expand into partial fractions.
Enter m, the denominator of the fraction you want to expand into partial fractions.
Both n and m must be natural numbers less than or equal to 1,000.
(No output will be generated for inputs outside this range.)
a and b will also be checked within the range of natural numbers.
Output will be generated when a and b that can be expanded via partial fraction decomposition are found.

The value of n used	Find n = b - a
Adopted value for m	Find m = ab
a	The value of a in (1/a) - (1/b)
b	b in (1/a) - (1/b)

R6 (2024). 08/06 (Tue)_Ver. 001
Digit display setting: 50 digits.
Fixed digit count.
Real number calculation mode.

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