perplexus.info :: Just Math : Valid system of equations

Valid system of equations (Posted on 2020-10-16)

Find minimal value of a such that system

(x-1)^1/2+(y-1)^1/2+(z-1)^1/2=a-1
(x+1)^1/2+(y+1)^1/2+(z+1)^1/2=a+1

has solution in set of real numbers.

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 3.0000 (1 votes)

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Puzzle Answer

Comment 3 of 3 |

The required minimal value of a is 4--- which gives:

__ __ 2

| 85 85 85 |

(x, y, z)= |---- , ---- , -----|

|36 36 36 |

--- ---

Edited on June 3, 2022, 12:25 am

Posted by K Sengupta on 2022-06-03 00:24:47

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