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Jika , hasil dari  adalah

Pertanyaan

Jika begin mathsize 14px style open parentheses a plus b close parentheses colon open parentheses a minus b close parentheses equals 1 colon 5 end style, hasil dari begin mathsize 14px style open parentheses a squared minus b squared close parentheses colon open parentheses a squared plus b squared close parentheses end style adalah begin mathsize 14px style horizontal ellipsis end style 

  1. begin mathsize 14px style 9 colon 7 end style 

  2. begin mathsize 14px style 7 colon 1 end style 

  3. begin mathsize 14px style 5 colon 3 end style 

  4. begin mathsize 14px style 5 colon 13 end style 

Pembahasan Soal:

Jika begin mathsize 14px style open parentheses a plus b close parentheses colon open parentheses a minus b close parentheses equals 1 colon 5 end style, maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator a plus b over denominator a minus b end fraction end cell equals cell 1 fifth end cell row cell 5 a plus 5 b end cell equals cell a minus b end cell row cell 5 a minus a end cell equals cell negative b minus 5 b end cell row cell 4 a end cell equals cell negative 6 b end cell row a equals cell negative fraction numerator 6 b over denominator 4 end fraction end cell row a equals cell negative 3 over 2 b end cell end table end style

Sehingga, kita dapat perhitungan sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator a squared minus b squared over denominator a squared plus b squared end fraction end cell equals cell fraction numerator open parentheses negative begin display style 3 over 2 end style b close parentheses squared minus b squared over denominator open parentheses negative 3 over 2 b close parentheses squared plus b squared end fraction end cell row blank equals cell fraction numerator begin display style 9 over 4 end style b squared minus b squared over denominator 9 over 4 b squared plus b squared end fraction end cell row blank equals cell fraction numerator begin display style 5 over 4 end style b squared over denominator begin display style 13 over 4 end style b squared end fraction end cell row blank equals cell 5 over 4 cross times 4 over 13 end cell row blank equals cell 5 over 13 end cell end table end style

Jadi, jawaban yang tepat adalah D.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 April 2021

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