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Sistem persamaan linear-kuadrat    mempunyai penyelesaian jika ....

Pertanyaan

Sistem persamaan linear-kuadrat 

begin mathsize 14px style open curly brackets table attributes columnalign left end attributes row cell y equals 2 x minus m end cell row cell y equals x squared minus 2 x minus 3 end cell end table close end style 

mempunyai penyelesaian jika ....

  1. begin mathsize 14px style 0 less or equal than m less or equal than 7 end style

  2. size 14px m size 14px less or equal than size 14px 7

  3. size 14px m size 14px less or equal than size 14px 0

  4. size 14px m size 14px less or equal than size 14px minus size 14px 4

  5. size 14px m size 14px less or equal than size 14px minus size 14px 7

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell y subscript 1 end cell equals cell y subscript 2 end cell row cell 2 x minus m end cell equals cell x squared minus 2 x minus 3 end cell row 0 equals cell x squared minus 4 x minus 3 plus m end cell row cell Mempunyai space penyelesaian space jika space nilai space straight D end cell equals 0 row cell b squared minus 4 a c end cell greater or equal than 0 row cell left parenthesis negative 4 right parenthesis squared minus 4 open parentheses 1 close parentheses open parentheses m minus 3 close parentheses end cell greater or equal than 0 row cell 16 minus 4 m plus 12 end cell greater or equal than 0 row cell negative 4 m end cell greater or equal than cell negative 28 end cell row m less or equal than 7 end table end style 

 

Jadi jawaban yang tepat adalah B

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 07 Februari 2021

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