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diketahui dua bilangan p dan q yang memenuhi hubungan q-2p=50 . nilai minimum p 2 +q 2 adalah...

diketahui dua bilangan  p dan q yang memenuhi hubungan q-2p=50. nilai minimum p2+q2 adalah...

  1. 100

  2. 250

  3. 500

  4. 1250

  5. 5000

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

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Pembahasan

q space – space 2 p space equals space 50 space b e r a r t i space q space equals space 50 space plus space 2 p space  p squared space plus space q squared equals space p squared space plus space left parenthesis 50 plus 2 p right parenthesis squared space  equals space p squared space space plus space 2500 space plus space 200 p space plus space 4 p squared space  equals space 5 p squared space plus space 200 p space plus space 2500 space    N i l a i space m i n i m u m space p squared space plus space q squared space s a a t space t u r u n a n n y a space equals space 0 comma space s e h i n g g a space colon  10 p space plus space 200 space equals space 0 space  space space space space space space space space space space space space space space space p space space equals space minus 20 space  S u b s t i t u s i k a n space n i l a i space p equals negative 20 space k e space p squared space plus space q squared space s e h i n g g a colon  space p squared space plus space q squared space equals space 5 left parenthesis negative 20 right parenthesis squared space plus space 200 left parenthesis negative 20 right parenthesis space plus space 2500 space  space space space space space space space space space space space space space space space space space equals space 2000 space – space 4000 space plus space 2500 space equals space 500

83

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Diketahui p − 2 q = 5 dan z = p 2 + q 2 . Nilai p dan q yang menyebabkan nilai z minimum adalah ..

146

5.0

Jawaban terverifikasi

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