cool variables as hot constants !

Algebra Level 4

{a+b+c+d=12abcd=27+ab+ac+ad+bc+bd+cd\begin{cases} a+b+c+d=12 \\ abcd=27+ab+ac+ad+bc+bd+cd \end{cases}

If the above equations hold true simultaneously for some positive real numbers a,b,ca,b,c and dd, then find the value of (a4.b5.c62.d14)\left( \dfrac{a^4.b^5.c^6}{2.d^{14}} \right)


You can try my other Sequences And Series problems by clicking here : Part II and here : Part I.
×

Problem Loading...

Note Loading...

Set Loading...