The product of all real roots of the equation x2−|x|−6=0 is

The given equation is x2−|x|−6=0 If x>0,  ⇒ equation is x2−x−6=0 ⇒ (x−3)(x+2)=0⇒x=3,x=−2⇒x=3     (∵x>0) If x<0 , ⇒ equation is x2+x−6=0 ⇒ (x+3)(x−2)=0⇒x=−3,x=2⇒x=−3    (∵x<0) Hence, product of all possible real roots =−9 .