Consider the system of equations
$$ 3a + 2b + c+ d =14 $$ $$ a^{2} + b^{2} + c^{2} + d^{2} =14.$$
Is there any way to find maximum value of $d$ using AM-GM inequality. I am not even able to think, how to start approaching this problem.
2026-04-02 10:50:38.1775127038
Maximum value of a variable in system of two equations
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