Roboguru

Perhatikan gambar berikut. Tentukan nilai x yang memenuhi gambar tersebut.

Pertanyaan

Perhatikan gambar berikut.

Tentukan nilai x yang memenuhi gambar tersebut.

  1. ....space space  

  2. ....space space  

Pembahasan Soal:

Karena ABC segitiga siku-siku maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell C B squared end cell equals cell A B squared plus A C squared end cell row cell left parenthesis 2 x plus 1 right parenthesis squared end cell equals cell x to the power of 2 end exponent plus left parenthesis 2 x right parenthesis squared 4 x squared plus 4 x plus 1 equals x squared plus 4 x squared end cell row cell x squared minus 4 x minus 1 end cell equals 0 end table end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell x subscript 1 comma 2 end subscript end cell equals cell fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction end cell row blank equals cell fraction numerator negative 4 plus-or-minus square root of 4 squared minus 4 left parenthesis negative 1 right parenthesis left parenthesis 1 right parenthesis end root over denominator 2 left parenthesis negative 1 right parenthesis end fraction end cell row blank equals cell fraction numerator negative 4 plus-or-minus square root of 20 over denominator negative 2 end fraction end cell row cell x subscript 1 end cell equals cell fraction numerator negative 4 plus square root of 20 over denominator negative 2 end fraction end cell row blank equals cell 2 minus square root of 5 end cell row cell x subscript 2 end cell equals cell fraction numerator negative 4 minus square root of 20 over denominator negative 2 end fraction end cell row blank equals cell 2 plus square root of 5 end cell end table end style

 

 

 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 08 Februari 2021

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