olymmath

AT-OEMO-REG 2014 Problem 2

    You can determine all 4-ples (a,b,c,d)(a,b, c,d) of real numbers, which solve the following equation system {ab+ac=3b+3cbc+bd=5c+5dac+cd=7a+7dad+bd=9a+9b\begin{cases} ab + ac = 3b + 3c \\ bc + bd = 5c + 5d \\ ac + cd = 7a + 7d \\ ad + bd = 9a + 9b \end{cases}

    Dataset text AoPS wiki problems. Quoted with source.

    Solutions

    No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

    Add a solution

    Similar problems

    These problems have the most words in common with this statement.

    Locator at-oemo-reg/2014/p2 · Tag 4Q4AYKJZRA · Edit this page on GitHub · Keys: j next, k previous