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Jika 3 [ p r ​ 2 s ​ ] = [ p − 1 ​ q 2 s ​ ] + [ 4 r + s ​ p + q 3 ​ ] . Tentukan nilai p , q , r dan s .

Jika .

Tentukan nilai .

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N. Puspita

Master Teacher

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Pembahasan

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Menentukan nilai Menentukan nilai Menentukan nilai Menentukan nilai Jadi, nillai berturut-turut adalah .

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 open square brackets table row p 2 row r s end table close square brackets end cell equals cell open square brackets table row p q row cell negative 1 end cell cell 2 s end cell end table close square brackets plus open square brackets table row 4 cell p plus q end cell row cell r plus s end cell 3 end table close square brackets end cell row cell open square brackets table row cell 3 p end cell 6 row cell 3 r end cell cell 3 s end cell end table close square brackets end cell equals cell open square brackets table row cell p plus 4 end cell cell q plus left parenthesis p plus q right parenthesis end cell row cell negative 1 plus left parenthesis r plus s right parenthesis end cell cell 2 s plus 3 end cell end table close square brackets end cell row cell open square brackets table row cell 3 p end cell 6 row cell 3 r end cell cell 3 s end cell end table close square brackets end cell equals cell open square brackets table row cell p plus 4 end cell cell p plus 2 q end cell row cell negative 1 plus r plus s end cell cell 2 s plus 3 end cell end table close square brackets end cell end table 

Menentukan nilai p

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 p end cell equals cell p plus 4 end cell row cell 3 p minus p end cell equals 4 row cell 2 p end cell equals 4 row p equals cell 4 over 2 end cell row p equals 2 end table 

Menentukan nilai q

table attributes columnalign right center left columnspacing 0px end attributes row 6 equals cell p plus 2 q end cell row 6 equals cell 2 plus 2 q end cell row cell 6 minus 2 end cell equals cell 2 q end cell row 4 equals cell 2 q end cell row cell 4 over 2 end cell equals q row 2 equals q end table 

Menentukan nilai s 

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 s end cell equals cell 2 s plus 3 end cell row cell 3 s minus 2 s end cell equals 3 row s equals 3 end table 

Menentukan nilai r 

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 r end cell equals cell negative 1 plus r plus s end cell row cell 3 r end cell equals cell negative 1 plus r plus 3 end cell row cell 3 r minus r end cell equals cell negative 1 plus 3 end cell row cell 2 r end cell equals 2 row r equals cell 2 over 2 end cell row r equals 1 end table 

Jadi, nillai p comma space q comma space r comma space s berturut-turut adalah 2 comma space 2 comma space 1 comma space 3

 

 

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