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Jika diketahui x1 dan x2 adalah akar-akar persamaan (5 - 2 log x) log x = log 1000, maka X 1 2 ​ + X 2 2 ​ = ... = ....

Jika diketahui x1 dan x2 adalah akar-akar persamaan (5 - 2 log x) log x = log 1000, maka = ....

  1. 0

  2. 10

  3. 100

  4. 1000

  5. 1100

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Pembahasan

left parenthesis 5 space minus space 2 space log space x right parenthesis log space x space equals space log space 1000  left parenthesis 5 space log space x space minus space 2 space log squared x right parenthesis log space x space equals space log space 1000 space  2 space log squared x space minus space 5 space log space x space plus space log space 1000 space equals space 0  m i s a l space log space x space equals space P space  2 space log squared x space minus space 5 space log space x space plus space log space 1000 space equals space 0 space  2 P squared space minus space 5 P space plus space 3 space equals space 0 space  left parenthesis 2 P space minus space 3 right parenthesis left parenthesis P space minus space 1 right parenthesis space equals space 0  P equals 3 over 2 rightwards arrow log x equals 3 over 2 rightwards arrow x equals 10 to the power of 3 over 2 end exponent  M a k a space x 1 squared plus x 2 squared equals open parentheses 10 to the power of 3 over 2 end exponent close parentheses squared plus 10 squared equals 1000 plus 100 equals 1100

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