let $f(x) = x^4+ 12x--5$
As there change of sign once in f(x) so there is one positve real toot as per descartes' rule of signs
$f(- x) = x^4- 12x--5$
As there change of sign once in f(-x) so there is one real toot as per descartes' rule of signs
so there are 2 real roots
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