4). 3x² + 16x + 12 = 0tolong di jawab ya kak beserta caranya :) Terima kasih

4). 3x² + 16x + 12 = 0tolong di jawab ya kak beserta caranya 🙂 Terima kasih

Jawaban:

$rm x = frac{ - 8 + 2 sqrt{7} }{3}$

$rm x = frac{ - 8 - 2 sqrt{7} }{3}$

Penjelasan dengan langkah-langkah:

$rm 3 {x}^{2} + 16x + 12 = 0$

$rm {x}^{2} + frac{16}{3}x + 4 = 0$

$rm (x + frac{8}{3} {)}^{2} + 4 - ( frac{8}{3} {)}^{2} = 0$

$rm ( x + frac{8}{3} {)}^{2} = - 4 + ( frac{8}{3} {)}^{2}$

$rm (x + frac{8}{3} {)}^{2} = - 4 + frac{ {8}^{2} }{ {3}^{2} }$

$rm (x + frac{8}{3} {)}^{2} = frac{28}{9}$

$rm x + frac{8}{3} = pm sqrt{ frac{28}{9} }$

$rm x = pm frac{2 sqrt{7} }{3} - frac{8}{3}$

$rm x = - frac{8}{3} + frac{2 sqrt{7} }{3}$

$rm x = - frac{8}{3} - frac{2 sqrt{7} }{3}$

$rm x = frac{ - 8 + 2 sqrt{7} }{3}$

$rm x = frac{ - 8 - 2 sqrt{7} }{3}$