perplexus.info :: Numbers : Two Equations

Two Equations - Four Unknowns (Posted on 2024-06-01)

Each of a, b, c, and d is an integer that satisfies this system of equations:

ab+cd = 34
ac-bd =19

Determine all possible values of a, b, c, and d.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(a,b,c,d) = (-19,0, -1, -34), (19, 0, 1, 34), (-1, -34, -19, 0), (1, 34, 19, 0), (0, -19, 34, 1), (0, 19, -34, -1), (-34, -1, 0, 19), (34, 1, 0, -19) (-4 -1 -6 -5), (4, 1, 6, 5) (-6 -5 -4 -1), (6, 5, 4, 1), (-1, -4, 5, 6), (1, 4, -5, -6), (-5 -6 1 4), (5, 6, -1, -4).
For an explanation, refer to the solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Solution	Brian Smith	2024-06-01 11:57:15
Solution	Larry	2024-06-01 09:20:28

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