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Jika akar persamaan 3 x 2 − 4 x − 1 = 0 adalah r p ± q ​ ​ maka p + q + r = ...

Jika akar persamaan  adalah  maka p + q + r = ...

  1. 7

  2. 10

  3. 12

  4. 14

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F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

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Pembahasan

Diperoleh: p = 2, q = 7, r = 3 p+ + q + r = 2 + 7 + 3 = 12

a equals 3 comma space b equals negative 4 comma space c equals negative 1 x subscript 1 comma 2 end subscript equals fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction space space space space space space space equals fraction numerator 4 plus-or-minus square root of 16 plus 12 end root over denominator 6 end fraction space space space space space space space equals fraction numerator 4 plus-or-minus square root of 28 over denominator 6 end fraction space space space space space space space equals fraction numerator 4 plus-or-minus 2 square root of 7 over denominator 6 end fraction space space space space space space space equals fraction numerator 2 plus-or-minus square root of 7 over denominator 3 end fraction

Diperoleh: p = 2, q = 7, r = 3

p+ + q + r = 2 + 7 + 3 = 12

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