The roots of the equation $2x^2+x-5=0$ are $\alpha$ and $\beta$. Without solving the equation,

Question

The roots of the equation $2x^2+x-5=0$ are $\alpha$ and $\beta$. Without solving the equation, find the value of $\dfrac{\alpha}{\beta}+\dfrac{\beta}{\alpha}$.

Accepted Answer

$-\frac{21}{10}$

Ratio combination of the roots

Ratio combination of the roots

Solution:

Solution locked