Persamaan kuadrat 2x2+X+6=0 mempunyai akar alfa dan beta .nilai alfa2 + beta2

[tex] \alpha \times \beta = \frac{c}{a} = \frac{6}{2} = 3 \\ \alpha + \beta = \frac{ - b}{a} = \frac{ - 1}{2} \\ \alpha ^{2} + \beta^{2} = ( \alpha + \beta ) ^{2} - 2 \alpha \beta = ( \frac{ - 1}{2} ) ^{2} - 2(3) = \frac{1}{4} - 6 = \frac{ - 23}{4} [/tex]