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Jika a = ( 4 − 9 ​ ) dan b = ( − 1 5 ​ ) , hitunglah nilai dari ∣ ∣ ​ 4 a − 3 b ∣ ∣ ​ !

Jika  dan ,   hitunglah nilai dari !

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R. Hajrianti

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

.

 begin mathsize 14px style open vertical bar 4 a with rightwards arrow on top minus 3 b with rightwards arrow on top close vertical bar equals square root of 2962 end style.

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Pembahasan

Diketahui dan maka diperoleh sebagai berikut. Selanjutnya, diperoleh sebagai berikut. Jadi, .

Diketahui begin mathsize 14px style a with rightwards arrow on top equals open parentheses table row 4 row cell negative 9 end cell end table close parentheses end style dan begin mathsize 14px style b with rightwards arrow on top equals open parentheses table row cell negative 1 end cell row 5 end table close parentheses end style maka diperoleh begin mathsize 14px style 4 a with rightwards arrow on top minus 3 b with rightwards arrow on top space end style sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 4 a with rightwards arrow on top minus 3 b with rightwards arrow on top end cell equals cell 4 open parentheses table row 4 row cell negative 9 end cell end table close parentheses minus 3 open parentheses table row cell negative 1 end cell row 5 end table close parentheses end cell row blank equals cell open parentheses table row cell 4 cross times 4 end cell row cell 4 cross times open parentheses negative 9 close parentheses end cell end table close parentheses minus open parentheses table row cell 3 cross times open parentheses negative 1 close parentheses end cell row cell 3 cross times 5 end cell end table close parentheses end cell row blank equals cell open parentheses table row 16 row cell negative 36 end cell end table close parentheses minus open parentheses table row cell negative 3 end cell row 15 end table close parentheses end cell row blank equals cell open parentheses table row cell 16 minus open parentheses negative 3 close parentheses end cell row cell negative 36 minus 15 end cell end table close parentheses end cell row blank equals cell open parentheses table row 19 row cell negative 51 end cell end table close parentheses end cell end table end style

Selanjutnya, diperoleh begin mathsize 14px style open vertical bar 4 a with rightwards arrow on top minus 3 b with rightwards arrow on top close vertical bar end style sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar 4 a with rightwards arrow on top minus 3 b with rightwards arrow on top close vertical bar end cell equals cell square root of open parentheses 19 close parentheses squared plus open parentheses negative 51 close parentheses squared end root end cell row blank equals cell square root of 361 plus 2601 end root end cell row blank equals cell square root of 2962 end cell row blank blank blank end table end style


 Jadi, begin mathsize 14px style open vertical bar 4 a with rightwards arrow on top minus 3 b with rightwards arrow on top close vertical bar equals square root of 2962 end style.

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