2x²+ 5x-6 =0 tentukan a/b + b/a bantuin aku yukk :)

Jika menganggap akar persamaannya a dan b,
[tex]\displaystyle \frac{a}{b}+\frac{b}{a}=\frac{a^2+b^2}{ab}=\frac{(a+b)^2-2ab}{ab} \\ \\ \frac{(-\frac{5}{2})^2-2(\frac{-6}{2})}{\frac{-6}{2}}=\frac{\frac{25}{4}+6}{-3}=\frac{\frac{25+24}{4}}{-3}=-\frac{\frac{49}{4}}{3}=-\frac{49}{12}[/tex]