Waste less time on Facebook — follow Brilliant.
×

simultaneous floor equations

\[ \lfloor a \rfloor bc = 3 \\ a \lfloor b \rfloor c = 4 \\ ab \lfloor c \rfloor = 5 \]

If \(a,b\) and \(c\) are real numbers satisfying the system of equations above. Find all solutions of \((a,b,c) \).

Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.

I wasn't able to find all the solutions, so i request the community to provide the total solutions.

Note by Raghav Rathi
8 months, 2 weeks ago

No vote yet
1 vote

Comments

Sort by:

Top Newest

(√[20/3] , -√[15/4] , -√[3/5]) is the only one I could find. Could you tell me what you did have before asking it here? Saya Suka · 8 months, 1 week ago

Log in to reply

What have you tried? Where are you stuck? Calvin Lin Staff · 8 months, 2 weeks ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...