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Pertanyaan

Jika a + b − c = 2 , a 2 + b 2 − 4 c 2 = 2 , dan , maka nilai c = ...

Jika  , dan Error converting from MathML to accessible text., maka nilai c = ... 

  1. 0

  2. 1

  3. 2

  4. 3

  5. 6

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S. Dwi

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

jawaban yang tepat adalah B.

Pembahasan

Perhatikan bahwa Kemudian, Lalu, Subtitusikan persamaan (1) dan (3) ke persamaan (2) sehingga kita peroleh Jadi, jawaban yang tepat adalah B.

Perhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight a plus straight b minus straight c end cell equals 2 row cell straight a plus straight b end cell equals cell 2 plus straight c horizontal ellipsis open parentheses 1 close parentheses end cell end table end style 

Kemudian,


begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight a squared plus straight b squared minus 4 straight c squared end cell equals 2 row cell straight a squared plus straight b squared end cell equals cell 2 plus 4 straight c squared end cell row cell open parentheses straight a squared plus straight b squared plus 2 ab close parentheses minus 2 ab end cell equals cell 2 plus 4 straight c squared end cell row cell open parentheses straight a plus straight b close parentheses squared minus 2 ab end cell equals cell 2 plus 4 straight c squared horizontal ellipsis open parentheses 2 close parentheses end cell end table end style 

Lalu,

begin mathsize 14px style ab equals 3 over 2 straight c squared horizontal ellipsis open parentheses 3 close parentheses end style 

Subtitusikan persamaan (1) dan (3) ke persamaan (2) sehingga kita peroleh

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses straight a plus straight b close parentheses squared minus 2 ab end cell equals cell 2 plus 4 straight c squared end cell row cell open parentheses 2 plus straight c close parentheses squared minus 2 open parentheses 3 over 2 straight c squared close parentheses end cell equals cell 2 plus 4 straight c squared end cell row cell 4 plus 4 straight c plus straight c squared minus 3 straight c squared end cell equals cell 2 plus 4 straight c squared end cell row 0 equals cell 4 straight c squared plus 3 straight c squared minus straight c squared minus 4 straight c plus 2 minus 4 end cell row 0 equals cell 6 straight c squared minus 4 straight c minus 2 end cell row 0 equals cell 3 straight c squared minus 2 straight c minus 1 end cell row 0 equals cell open parentheses 3 straight c plus 1 close parentheses open parentheses straight c minus 1 close parentheses end cell row cell 3 straight c plus 1 end cell equals cell 0 straight atau straight straight c minus 1 equals 0 end cell row straight c equals cell negative 1 third straight atau straight straight c equals 1 end cell end table end style 

Jadi, jawaban yang tepat adalah B.

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