Find all the real values of $\displaystyle a$ for which $\displaystyle a^3 + a^2|a + x| + |a^2x + 1| = 1$ has at least 4 integral solutions in $\displaystyle x$.

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- May 23rd 2009, 10:09 PMfardeen_genFind all the real values of a?
Find all the real values of $\displaystyle a$ for which $\displaystyle a^3 + a^2|a + x| + |a^2x + 1| = 1$ has at least 4 integral solutions in $\displaystyle x$.

- May 24th 2009, 12:24 AMCaptainBlack