Question

Tentukan Himpunan Penyelesaian Dari Persamaan Kuadrat Berikut Ini!
[tex]~[/tex]
[tex]1). \: \sf \: 9x {}^{2} - 81 = 0[/tex]
[tex]2). \:\sf \: 4x {}^{2} + 2x = 0[/tex]
[tex]3). \: \sf \: x {}^{2} + 7x + 6 = 0[/tex]
[tex]4). \: \sf \: x {}^{2} + 2x - 15 = 0[/tex]
[tex]5). \: \sf \: 2x {}^{2} + 7x + 3 = 0[/tex]
[tex]~[/tex]
[tex]~[/tex]
Note : Selamat Hari Kemerdekaan Indonesia Yang Ke 77 Tahun!
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Answer 1

Penjelasan dengan langkah-langkah:

1.

9x² - 81 = 0

x² - 4 = 0

x² = 4

x = ±√4

x = ±2

x = -2 atau x = 2 , HP = {-2,2}

2.

4x² + 2x = 0

2x(2x + 1) = 0

2x = 0 atau 2x + 1 = 0

x = 0 atau x = -1/2 , HP = {0,-1/2}

3.

x² + 7x + 6 = 0

x² + 6x + x + 6 = 0

x(x + 6) + 1(x + 6) = 0

(x + 6)(x + 1) = 0

x + 6 = 0 atau x + 1 = 0

x = -6 atau x = -1 , HP = {-6,-1}

4.

x² + 2x - 15 = 0

x² + 5x - 3x - 15 = 0

x(x + 5) - 3(x + 5) = 0

(x + 5)(x - 3) = 0

x + 5 = 0 atau x - 3 = 0

x = -5 atau x = 3 , HP = {-5,3}

5.

2x² + 7x + 3 = 0

2x² + 6x + x + 3 = 0

2x(x + 3) + 1(x + 3) = 0

(x + 3)(2x + 1) = 0

x + 3 = 0 atau 2x + 1 = 0

x = -3 atau x = -1/2 , HP = {-3,-1/2}