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Dua bilangan bulat m dan n memenuhi hubungan . Nil...

Dua bilangan bulat m dan n memenuhi hubungan 2 m minus n equals 40. Nilai minimum dari p equals m squared plus n squared adalah....

  1. 320

  2. 295

  3. 280

  4. 260

  5. 200

Jawaban:

2 straight m minus straight n equals 40 rightwards double arrow straight n equals 2 straight m minus 40 horizontal ellipsis.. left parenthesis 1 right parenthesis straight p equals straight m squared plus straight n squared Subtitusikan space persamaan space left parenthesis 1 right parenthesis space colon straight p equals straight m squared plus open parentheses 2 straight m minus 40 close parentheses squared straight p equals straight m squared plus 4 straight m squared minus 160 straight m plus 1600 straight p equals 5 straight m squared minus 160 straight m plus 1600 Untuk space mencari space nilai space minimum space maka straight p apostrophe equals 0 10 straight m minus 160 equals 0 straight m equals 16 Subtitusi space ke space persamaan space left parenthesis 1 right parenthesis space colon straight n equals 2 open parentheses 16 close parentheses minus 40 equals negative 8 Maka straight p subscript min equals 16 squared plus open parentheses negative 8 close parentheses squared equals 320

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