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Akar-akar persamaan kuadrat 3 x 2 − x + 9 = 0 adalah x 1 dan x 2 . Nilai dari x 2 ​ x 1 ​ ​ + x 1 ​ x 2 ​ ​ adalah …

Akar-akar persamaan kuadrat  adalah x1 dan x2. Nilai dari  adalah …

  1. negative 27 over 53

  2. negative 57 over 23

  3. negative 1 53 over 27

  4. negative 26 over 27

  5. negative 1 26 over 27

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A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

3 x squared minus x plus 9 equals 0 rightwards arrow a equals 3 comma b equals negative 1 comma c equals 9 x subscript 1 plus x subscript 2 equals negative b over a equals negative fraction numerator left parenthesis negative 1 right parenthesis over denominator 3 end fraction equals 1 third space space d a n space x subscript 1 space. space x subscript 2 equals c over a equals 9 over 3 equals 3 x subscript 1 over x subscript 2 space plus x subscript 2 over x subscript 1 space equals fraction numerator left parenthesis x subscript 1 right parenthesis squared plus left parenthesis x subscript 2 right parenthesis squared over denominator x subscript 1 x subscript 2 end fraction space space space space space space space space space space space space space space space space space space space space equals fraction numerator left parenthesis x subscript 1 plus x subscript 2 right parenthesis squared minus 2 x subscript 1 x subscript 2 over denominator x subscript 1 x subscript 2 end fraction space space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses begin display style 1 third end style close parentheses squared minus 2 left parenthesis 3 right parenthesis over denominator 3 end fraction space space space space space space space space space space space space space space space space space space space space equals fraction numerator begin display style 1 over 9 end style minus 6 over denominator 3 end fraction space space space space space space space space space space space space space space space space space space space space equals negative 53 over 27 space space space space space space space space space space space space space space space space space space space space equals negative 1 26 over 27

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