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Bila   maka nilai dari

Pertanyaan

Bila  negative 3 less than x less than 1 maka nilai dari square root of straight x squared plus 6 straight x plus 9 space end root plus square root of straight x squared minus 2 straight x plus 1 end root

  1. 2 x plus 2

  2. 4

  3. -4

  4. negative 2 x minus 2

  5. 2 x plus 1

Pembahasan Soal:

Diketahui :

square root of straight x squared plus 6 straight x plus 9 space end root plus square root of straight x squared minus 2 straight x plus 1 end root

Ditanya :

Nilai dari penjumlahan akar tersebut

Penyelesaian 

table attributes columnalign right center left columnspacing 0px end attributes row cell square root of straight x squared 6 straight x plus 9 space end root space end cell equals cell square root of open parentheses straight x plus 3 close parentheses squared end root end cell row blank equals cell straight x plus 3 end cell row cell square root of straight x squared minus 2 straight x plus 1 end root end cell equals cell square root of open parentheses straight x minus 1 close parentheses squared end root end cell row blank equals cell straight x minus 1 end cell end table

Maka 

table attributes columnalign right center left columnspacing 0px end attributes row cell square root of straight x squared 6 straight x plus 9 space end root plus square root of straight x squared minus 2 straight x plus 1 end root space end cell equals cell open parentheses straight x plus 3 close parentheses plus open parentheses straight x minus 1 close parentheses end cell row blank equals cell 2 straight x plus 2 end cell end table

 

Jadi niilai dari penjumlahan square root of straight x squared 6 straight x plus 9 space end root plus square root of straight x squared minus 2 straight x plus 1 end root equals 2 x plus 2

Oleh karena itu, jawaban yang benar adalah A.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 10 Juni 2021

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