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Jika , maka  sama dengan...

Pertanyaan

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

  1. ...undefined 

  2. ...undefined 

Pembahasan Video:

Pembahasan Soal:

Misal begin mathsize 14px style a plus b equals x end style maka begin mathsize 14px style a minus b equals 5 x end style, dengan begin mathsize 14px style x element of straight real numbers end style. Dengan demikian diperoleh

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Jadi, nilai b adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a plus b end cell equals x row cell a plus left parenthesis negative 2 x right parenthesis end cell equals x row a equals cell 3 x end cell end table end style

Substitusi nilai begin mathsize 14px style a end style dan begin mathsize 14px style b end style ke soal yang ditanyakan, yaitu:

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 left parenthesis 3 x right parenthesis squared minus left parenthesis negative 2 x right parenthesis squared over denominator left parenthesis 3 x right parenthesis squared plus left parenthesis negative 2 x right parenthesis squared end fraction end cell row blank equals cell fraction numerator 9 x squared minus 4 x squared over denominator 9 x squared plus 4 x squared end fraction end cell row blank equals cell fraction numerator 5 x squared over denominator 13 x squared end fraction end cell row blank equals cell 5 over 13 end cell end table end style 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 06 Mei 2021

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