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Akar-akar persamaan kuadrat 3x 2 – 5x – 4 = 0 adalah x 1 dan x 2 . Nilai dari adalah ....

Akar-akar persamaan kuadrat 3x2 – 5x – 4 = 0 adalah x1dan x2. Nilai dari fraction numerator size 12px 4 over denominator size 12px x subscript size 12px 1 superscript size 12px 2 end fraction size 12px space size 12px plus size 12px space fraction numerator size 12px 4 over denominator size 12px x subscript size 12px 2 superscript size 12px 2 end fraction adalah ....

  1. 49 over 16 space

  2. 49 over 9 space

  3. 49 over 8 space

  4. 49 over 4 space

  5. 49 over 2

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Master Teacher

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Dari space persamaan space 3 straight x squared minus 5 straight x minus 4 equals 0 space diperoleh space straight a equals 3 comma space straight b equals negative 5 comma space straight c equals negative 4  straight x subscript 1 plus straight x subscript 2 equals negative straight b over straight a equals 5 over 3  straight x subscript 1. straight x subscript 2 space equals space straight c over straight a equals negative 4 over 3  Maka space nilai space dari  fraction numerator 4 over denominator straight x subscript 1 superscript 2 end fraction space plus space fraction numerator 4 over denominator straight x subscript 2 superscript 2 end fraction space equals space fraction numerator 4 straight x subscript 2 superscript 2 space plus space 4 straight x subscript 1 superscript 2 over denominator straight x subscript 1 superscript 2 space straight x subscript 2 superscript 2 end fraction  space space space space space space space space space space space space space space space space space space equals space fraction numerator 4 left parenthesis straight x subscript 1 superscript 2 space plus space straight x subscript 2 superscript 2 right parenthesis over denominator left parenthesis straight x subscript 1 straight x subscript 2 right parenthesis squared end fraction  space space space space space space space space space space space space space space space space space space equals space fraction numerator 4 left parenthesis left parenthesis straight x subscript 1 space plus space straight x subscript 2 right parenthesis squared space minus space 2 straight x subscript 1 straight x subscript 2 right parenthesis over denominator left parenthesis straight x subscript 1 straight x subscript 2 right parenthesis squared end fraction  space space space space space space space space space space space space space space space space space space equals space fraction numerator 4 open parentheses open parentheses begin display style 5 over 3 end style close parentheses squared space minus space 2 open parentheses negative begin display style 4 over 3 end style close parentheses close parentheses over denominator open parentheses negative begin display style 4 over 3 end style close parentheses squared end fraction  space space space space space space space space space space space space space space space space space space equals space fraction numerator 4 open parentheses begin display style 25 over 9 end style space plus space begin display style 8 over 3 end style close parentheses over denominator begin display style 16 over 9 end style end fraction  space space space space space space space space space space space space space space space space space space equals space fraction numerator 4 open parentheses begin display style 25 over 9 space plus space 8 over 3 end style close parentheses over denominator begin display style 16 over 9 end style end fraction  space space space space space space space space space space space space space space space space space space equals space fraction numerator begin display style 196 over 9 end style over denominator begin display style 16 over 9 end style end fraction  space space space space space space space space space space space space space space space space space space equals 196 over 16  space space space space space space space space space space space space space space space space space space equals space 49 over 4

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