Penjelasan dengan langkah-langkah:
3x² - 11x + 6 = 0
ax² + bx + c = 0
[tex] \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
[tex] \frac{ - 11± \sqrt{ {( - 11)}^{2} - 4.3.6 } }{2.3} [/tex]
[tex] \frac{ - 11± \sqrt{121 - 72} }{6} [/tex]
[tex] \frac{ - 11± \sqrt{49} }{6} [/tex]
[tex] \frac{ - 11±7}{6} [/tex]
[tex]x1 = \frac{ - 11 + 7}{6} = \frac{ - 4}{3} [/tex]
[tex]x2 = \frac{ - 11 - 7}{6} = - 3[/tex]
Semoga Membantu :)
Penjelasan dengan langkah-langkah:
3x² - 11x + 6 = 0
a = 3 || b = -11 || c = 6
[tex] \text{x}_{1,2} = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]\text{x}_{1,2} = \frac{ - ( - 11) \underline + \sqrt{ {( - 11)}^{2} - 4(3)(6) } }{2(3)} [/tex]
[tex]\text{x}_{1,2} = \frac{11± \sqrt{121 - 72} }{6} [/tex]
[tex]\text{x}_{1,2} = \frac{11± \sqrt{49} }{6} [/tex]
[tex]\text{x}_{1,2} = \frac{11±7}{6} [/tex]
-----------------------------------
[tex]\text{x}_{1} = \frac{11 + 7}{6} = 3[/tex]
[tex]\text{x}_{2} = \frac{11 - 7}{6} = \frac{4}{6} = \frac{2}{3} [/tex]
