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29 Agustus 2023 04:41

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Soraya C

29 Agustus 2023 04:41

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MENENTUKAN AKAR PERSAMAAN KUADRAT DENGAN PEMFAKTORAN mohon bantuannya kak, makasih

MENENTUKAN AKAR PERSAMAAN KUADRAT DENGAN PEMFAKTORAN

 

mohon bantuannya kak, makasih

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29 Agustus 2023 05:34

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<p>1. x<sup>2</sup> - 3x + 2 = 0</p><p>&nbsp; &nbsp; (x - 1)(x - 2) = 0</p><p>&nbsp; &nbsp; x - 1 = 0 &nbsp; &nbsp;atau x - 2 = 0</p><p>&nbsp; &nbsp; x<sub>1</sub> = 1 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x<sub>2</sub> = 2</p><p>&nbsp;</p><p>&nbsp;2. x<sup>2</sup> + 7x + 12 = 0</p><p>&nbsp; &nbsp; (x + 3)(x + 4) = 0</p><p>&nbsp; &nbsp; x+ 3 = 0 &nbsp; &nbsp;atau x + 4 = 0</p><p>&nbsp; &nbsp; x<sub>1</sub> = -3 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x<sub>2</sub> = -4</p><p>&nbsp;</p><p>3. 2x<sup>2</sup> - x - 10 = 0</p><p>&nbsp; &nbsp; &nbsp;2x<sup>2</sup> + 4x - 5x - 10 = 0</p><p>&nbsp; &nbsp; 2x(x + 2) - 5(x + 2) = 0</p><p>&nbsp; &nbsp; (2x - 5)(x + 2) = 0</p><p>&nbsp; &nbsp; 2x - 5 = 0 &nbsp; &nbsp;atau x + 2 = 0</p><p>&nbsp; &nbsp; x<sub>1</sub> = 5/2 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x<sub>2</sub> = -2</p><p>&nbsp;</p><p>4. 4x<sup>2</sup> - 49 = 0</p><p>&nbsp; &nbsp; (2x)<sup>2</sup> - 7<sup>2</sup> = 0</p><p>&nbsp; &nbsp; (2x + 7)(2x - 7) = 0</p><p>&nbsp; &nbsp; &nbsp;2x + 7 = 0 atau 2x - 7 = 0</p><p>&nbsp; &nbsp; &nbsp;x<sub>1</sub> = -7/2 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x<sub>2</sub> = 7/2</p><p>&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</p><p>&nbsp;</p>

1. x2 - 3x + 2 = 0

    (x - 1)(x - 2) = 0

    x - 1 = 0    atau x - 2 = 0

    x1 = 1                  x2 = 2

 

 2. x2 + 7x + 12 = 0

    (x + 3)(x + 4) = 0

    x+ 3 = 0    atau x + 4 = 0

    x1 = -3                x2 = -4

 

3. 2x2 - x - 10 = 0

     2x2 + 4x - 5x - 10 = 0

    2x(x + 2) - 5(x + 2) = 0

    (2x - 5)(x + 2) = 0

    2x - 5 = 0    atau x + 2 = 0

    x1 = 5/2                x2 = -2

 

4. 4x2 - 49 = 0

    (2x)2 - 72 = 0

    (2x + 7)(2x - 7) = 0

     2x + 7 = 0 atau 2x - 7 = 0

     x1 = -7/2                x2 = 7/2

 

                    

 


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