Salma S

28 September 2023 12:09

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Salma S

28 September 2023 12:09

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28 September 2023 12:30

Jawaban terverifikasi

<ul><li><strong>Menentukan nilai a, b dan c</strong></li></ul><p>&nbsp; &nbsp; &nbsp; 3x<sup>2</sup> - 4x - 8 = 0</p><p>&nbsp; &nbsp; &nbsp; a = 3, b = -4 dan c = -8</p><ul><li><strong>Menentukan x<sub>1</sub> + x<sub>2</sub></strong></li></ul><p>&nbsp; &nbsp; &nbsp; &nbsp;x<sub>1</sub> + x<sub>2</sub> = -b/a</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= -(-4)/3&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 4/3</p><ul><li><strong>Menentukan x<sub>1</sub>.x<sub>2</sub></strong></li></ul><p>&nbsp; &nbsp; &nbsp; &nbsp;x<sub>1</sub>.x<sub>2</sub> = c/a = -8/3</p><p>&nbsp;</p><ul><li><strong>Menentukan</strong> <strong>x<sub>1</sub><sup>2</sup><sub> </sub>+ x<sub>2</sub><sup>2</sup>&nbsp;</strong></li></ul><p>&nbsp; &nbsp; &nbsp; &nbsp;x<sub>1</sub><sup>2</sup><sub> </sub>+ x<sub>2</sub><sup>2</sup>&nbsp;= (x<sub>1</sub> + x<sub>2</sub>)<sup>2</sup> - 2x<sub>1</sub>.x<sub>2</sub>&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (4/3)<sup>2</sup> - 2(-8/3)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 16/9 + 16/3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 16/9 + 48/9</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 64/9</p><p>&nbsp;</p><p>Jawaban : <strong>B. I, III, dan IV</strong></p><p>&nbsp;</p>

  • Menentukan nilai a, b dan c

      3x2 - 4x - 8 = 0

      a = 3, b = -4 dan c = -8

  • Menentukan x1 + x2

       x1 + x2 = -b/a

                     = -(-4)/3 

                     = 4/3

  • Menentukan x1.x2

       x1.x2 = c/a = -8/3

 

  • Menentukan x12 + x22 

       x12 + x22 = (x1 + x2)2 - 2x1.x2 

                        = (4/3)2 - 2(-8/3)

                        = 16/9 + 16/3

                        = 16/9 + 48/9

                        = 64/9

 

Jawaban : B. I, III, dan IV

 


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