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Pertanyaan

Jika diketahuI x − y = 5 ​ − 2 1 ​ , y − z = 5 ​ + 2 1 ​ , maka nilai x 2 + y 2 + z 2 − xy − xz − yz = ….

Jika diketahuI , maka nilai  ….

  1. 38

  2. 27

  3. 20

  4. 19

  5. 16

8 dari 10 siswa nilainya naik

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02

:

05

:

14

:

34

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A. Acfreelance

Master Teacher

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Pembahasan

Lihat bentuk berikut :

straight x minus straight y equals fraction numerator 1 over denominator square root of 5 minus 2 end fraction equals square root of 5 plus 2 space dan space straight y minus straight z equals fraction numerator 1 over denominator square root of 5 plus 2 end fraction equals square root of 5 minus 2

straight x minus straight y plus straight y minus straight z equals fraction numerator 1 over denominator square root of 5 minus 2 end fraction plus fraction numerator 1 over denominator square root of 5 minus 2 end fraction equals square root of 5 plus 2 space plus space square root of 5 minus 2 equals 2 square root of 5 rightwards double arrow straight x minus straight z equals 2 square root of 5

Lihat bentuk berikut :
open parentheses straight x minus straight y close parentheses squared plus open parentheses straight y minus straight z close parentheses squared plus open parentheses straight x minus straight z close parentheses squared equals 2 straight x squared plus 2 straight y squared plus 2 straight z squared minus 2 xy minus 2 xz minus 2 yz open parentheses square root of 5 plus 2 close parentheses squared plus open parentheses square root of 5 minus 2 close parentheses squared plus open parentheses 2 square root of 5 close parentheses squared equals 2 straight x squared plus 2 straight y squared plus 2 straight z squared minus 2 xy minus 2 xz minus 2 yz 5 plus 4 square root of 5 plus 4 plus 5 minus 4 square root of 5 plus 4 plus 20 equals 2 straight x squared plus 2 straight y squared plus 2 straight z squared minus 2 xy minus 2 xz minus 2 yz 38 equals 2 straight x squared plus 2 straight y squared plus 2 straight z squared minus 2 xy minus 2 xz minus 2 yz 19 equals straight x squared plus straight y squared plus straight z squared minus xy minus xz minus yz

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Jika x 1 dan x 2 adalah akar – akar persamaan (5 – 2log x) log x = log 1000, maka x 1 2 + x 2 2 =….

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