4 . Let
� 3 � f x � p p �x p x
� 8 �
2 2
( ) � 1� 2 � � ( 8 � ) � 2
.
( a ) Show that the discriminant of f( x) � 0 is
2
72 � 2p .
( b ) Hence , find the values of p so that f( x) � 0 has two equal roots .
( c ) For the larger value of p in ( b ), solve the equation f( x) � 0 .
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