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Pertanyaan

Diketahui bahwa P = [ a 1 ​ 1 a ​ ] M = P 2 − a P + 4 P Jika ,maka nilai q r − p s adalah ....

Diketahui bahwa

 

Jika begin mathsize 14px style M equals open square brackets table row p q row r s end table close square brackets end style, maka nilai  adalah ....space space 

  1. begin mathsize 14px style 15 end style space 

  2. begin mathsize 14px style negative 15 a squared end style undefined 

  3. begin mathsize 14px style 15 a squared minus 15 end style undefined 

  4. begin mathsize 14px style negative 15 a squared plus 15 end style undefined 

  5. begin mathsize 14px style 15 a squared minus 15 a plus 15 end style undefined 

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R. Diah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

jawaban yang tepat adalah D.undefinedundefined 

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Pembahasan

Diketahui bahwa maka Jadi Sehingga didapat Dengan demikian, jawaban yang tepat adalah D.

Diketahui bahwa begin mathsize 14px style P equals open square brackets table row a 1 row 1 a end table close square brackets end style 

maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row M equals cell P squared minus a P plus 4 P end cell row M equals cell open square brackets table row a 1 row 1 a end table close square brackets open square brackets table row a 1 row 1 a end table close square brackets minus a open square brackets table row a 1 row 1 a end table close square brackets plus 4 open square brackets table row a 1 row 1 a end table close square brackets end cell row M equals cell open square brackets table row cell a squared plus 1 end cell cell 2 a end cell row cell 2 a end cell cell a squared plus 1 end cell end table close square brackets minus open square brackets table row cell a squared end cell a row a cell a squared end cell end table close square brackets plus open square brackets table row cell 4 a end cell 4 row 4 cell 4 a end cell end table close square brackets space end cell row M equals cell open square brackets table row cell a squared plus 1 minus a squared plus 4 a end cell cell 2 a minus a plus 4 end cell row cell 2 a minus a plus 4 end cell cell a squared plus 1 minus a squared plus 4 a end cell end table close square brackets end cell row cell open square brackets table row p q row r s end table close square brackets end cell equals cell open square brackets table row cell 4 a plus 1 end cell cell a plus 4 end cell row cell a plus 4 end cell cell 4 a plus 1 end cell end table close square brackets end cell end table end style 

Jadi

Error converting from MathML to accessible text.  

 

Sehingga didapat

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell q r minus p s end cell equals cell left parenthesis a plus 4 right parenthesis left parenthesis a plus 4 right parenthesis minus left parenthesis 4 a plus 1 right parenthesis left parenthesis 4 a plus 1 right parenthesis end cell row blank equals cell left parenthesis a squared plus 8 a plus 16 right parenthesis minus left parenthesis 16 a squared plus 8 a plus 1 right parenthesis end cell row blank equals cell a squared plus 8 a plus 16 minus 16 a squared minus 8 a minus 1 end cell row blank equals cell negative 15 a squared plus 15 end cell end table end style 

Dengan demikian, jawaban yang tepat adalah D.undefinedundefined 

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