perplexus.info :: Numbers : Add 100 to Cube, Get Square

Add 100 to Cube, Get Square (Posted on 2023-07-13)

Each of x and y is a positive integer.

Determine the minimum value of x+y such that:

       x³ + 100 = y²

What are the next two smallest values of x+y in consonance with the given conditions?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

5^3 = 125 15^2 = 225 20^3 = 8000 90^2 = 8100 The first three smallest solutions are: (x, y)= (5,15), (20,90), and: ( (24,118)
Thus, the three smallest values of x+y are: 20, 110, and 142.
For an explanation refer to the solution submitted by Larry in this location.

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

Subject	Author	Date
Possible Solution	broll	2023-07-14 06:23:31
No Subject	Larry	2023-07-13 06:48:39

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