kak tolong bantu no 2 dan 3..

[tex]2)3 {x}^{2} - x + 2 = 0[/tex]
a = 3 b= -1 dan c = 2 maka
[tex] \alpha + \beta = \frac{ - b}{a} = \frac{ - ( - 1)}{3} = \frac{1}{3} \\ \alpha \beta = \frac{c}{a} = \frac{2}{3} \\ ( \alpha + \beta )^{2} + \alpha \beta = {( \frac{1}{3} )}^{2} + \frac{2}{3} \\ = \frac{1}{9} + \frac{2}{3} \\ = \frac{1}{9} + \frac{6}{9} \\ = \frac{7}{9} [/tex]
[tex]3)2 {x}^{2} - 9x + 3m - 2 = 0[/tex]
a = 2 b = - 9 c = 3m-2
[tex] \alpha = \frac{1}{2}[/tex]
[tex] \alpha + \beta = \frac{ - b}{a} = \frac{ - ( - 9)}{2} = \frac{9}{2} [/tex]
Masukkan nilai alpha = 1/2 ke alpha + beta menjadi
[tex] \alpha + \beta = \frac{9}{2} \\ \frac{1}{2} + \beta = \frac{9}{2} \\ \beta = \frac{9}{2} - \frac{1}{2} \\ \beta = \frac{8}{2} [/tex]
Sehingga
[tex] \alpha \beta = \frac{c}{a} \\ \frac{1}{2} \times \frac{8}{2} = \frac{3m - 2}{2} \\ \frac{8}{4} = \frac{3m - 2}{2} \\ 4(3m - 2) = 16 \\ 12m - 8 = 16 \\ 12m = 16 + 8 \\ 12m = 24 \\ m = 2[/tex]
[tex] \alpha \beta = \frac{3m - 2}{2} \\ \alpha \beta = \frac{3(2)}{2} \\ \alpha \beta = \frac{6}{2} \\ \alpha \beta = 3[/tex]
Semoga dapat dipahami