akar akar persamaan (a-2)x² + 4x + a + 2= 0 adalah α dan β. jika αβ² + βα² = -20, nilai a = ...

[tex] \alpha + \beta = \frac{-4}{a-2} [/tex]
[tex] \alpha \beta = \frac{a+2}{a-2} [/tex]
[tex] \alpha \beta ^{2} + \beta \alpha ^{2} = -20[/tex]
[tex] \alpha \beta ( \beta + \alpha ) = -20[/tex]

jabarkan sendiri, jawaban:
[tex] \alpha = \frac{6}{5} atau \frac{3}{5} [/tex]