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Pertanyaan

D u a space b i l a n g a n space b u l a t space m space d a n space n space m e m e n u h i space h u b u n g a n space 2 m plus n equals negative 40. space N i l a i space m i n i m u m space d a r i  p equals m squared plus n squared space a d a l a h...

  1. 405

  2. 395

  3. 320

  4. 260

  5. 200

F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

Jawaban terverifikasi

Pembahasan

2 m plus n equals negative 40 rightwards double arrow n equals negative 2 m minus 40 horizontal ellipsis.. left parenthesis 1 right parenthesis  p equals m squared plus n squared    S u b t i t u s i k a n space p e r s a m a a n space left parenthesis 1 right parenthesis space colon  p equals m squared plus left parenthesis negative 2 m minus 40 right parenthesis squared  p equals m squared plus 4 m squared plus 160 m plus 1600  p equals 5 m squared plus 160 m plus 1600    U n t u k space m e n c a r i space n i l a i space m i n i m u m space m a k a space p to the power of apostrophe equals 0  10 m plus 160 equals 0 space  m equals negative 16 space    S u b t i t u s i space k e space p e r s a m a a n space left parenthesis 1 right parenthesis space colon  n equals negative 2 left parenthesis negative 16 right parenthesis minus 40 equals negative 8    M a k a  p subscript m i n end subscript equals left parenthesis negative 16 right parenthesis squared plus left parenthesis negative 8 right parenthesis squared equals 320

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Dua bilangan bulat m dan n memenuhi hubungan 2m−n=40. Nilai minimum dari p=m2+n2 adalah....

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