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Pertanyaan

Diketahui begin mathsize 14px style a with rightwards arrow on top equals open parentheses table row 4 row cell negative 2 end cell row x end table close parentheses end style dan begin mathsize 14px style b with rightwards arrow on top equals open parentheses table row 9 row 3 row 3 end table close parentheses end style. Jika begin mathsize 14px style a with rightwards arrow on top times b with rightwards arrow on top equals open vertical bar a with rightwards arrow on top close vertical bar squared end style dan begin mathsize 14px style x less than 0 end style, maka panjang begin mathsize 14px style open parentheses a with rightwards arrow on top minus b with rightwards arrow on top close parentheses equals... end style

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

panjang dari begin mathsize 14px style left parenthesis a with rightwards arrow on top minus b with rightwards arrow on top right parenthesis end style adalah begin mathsize 14px style 5 square root of 3 end style satuan panjang

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top. b with rightwards arrow on top end cell equals cell open vertical bar a with rightwards arrow on top close vertical bar squared end cell row cell left parenthesis 4 right parenthesis left parenthesis 9 right parenthesis plus left parenthesis negative 2 right parenthesis left parenthesis 3 right parenthesis plus left parenthesis x right parenthesis left parenthesis 3 right parenthesis end cell equals cell open parentheses square root of 4 squared plus left parenthesis negative 2 right parenthesis squared plus x to the power of 2 end exponent end root close parentheses squared end cell row cell 36 minus 6 plus 3 x end cell equals cell 16 plus 4 plus x squared end cell row cell 30 plus 3 x end cell equals cell 20 plus x squared end cell row cell x squared minus 3 x plus 20 minus 30 end cell equals 0 row cell x squared minus 3 x minus 10 end cell equals 0 row cell left parenthesis x minus 5 right parenthesis left parenthesis x plus 2 right parenthesis end cell equals 0 end table end style 
begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 5 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank atau end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table end style

Karena  begin mathsize 14px style x less than 0 end style, maka yang memenuhi adalah begin mathsize 14px style x equals negative 2 end style, maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis a with rightwards arrow on top minus b with rightwards arrow on top right parenthesis end cell equals cell open parentheses table row 4 row cell negative 2 end cell row cell negative 2 end cell end table close parentheses minus open parentheses table row 9 row 3 row 3 end table close parentheses end cell row blank equals cell open parentheses table row cell negative 5 end cell row cell negative 5 end cell row cell negative 5 end cell end table close parentheses end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar a with rightwards arrow on top minus b with rightwards arrow on top close vertical bar end cell equals cell square root of left parenthesis negative 5 right parenthesis squared plus left parenthesis negative 5 right parenthesis squared plus left parenthesis negative 5 right parenthesis squared end root end cell row blank equals cell square root of 25 plus 25 plus 25 end root end cell row blank equals cell square root of 75 end cell row blank equals cell 5 square root of 3 space satuan space panjang space end cell end table end style

Jadi, panjang dari begin mathsize 14px style left parenthesis a with rightwards arrow on top minus b with rightwards arrow on top right parenthesis end style adalah begin mathsize 14px style 5 square root of 3 end style satuan panjang

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