An algebra problem by Nivedit Jain

Algebra Level pending

$\lfloor$ $e^{a}$ $\rfloor$ $=$ y

$\lfloor$ x $\rfloor$ $=$ a

$x^{2}$ $+$ $11x$ $+$ $30$ $=$ y

if above system of 3 equations have one or more than one solutions . Then do me a favour to find the sum all the cubes of the solutions for x WHere $\lfloor$ x $\rfloor$ denotes floor function.

The answer is -346.

1 solution

Nivedit Jain
Mar 13, 2017

Here blue denotes $x^{2}$ $+$ $11x$ $+$ $30$ $=$ y

And red denotes $\lfloor$ $e^{a}$ $\rfloor$ $=$ y

So clearly to solutions are -5 and -6 Hence answer is -341

An algebra problem by Nivedit Jain

The answer is -346.

1 solution

0 pending reports