The roots of the equation $x^2+8x+5=0$ are $\alpha$ and $\beta$. Without solving the equation,

Question

The roots of the equation $x^2+8x+5=0$ are $\alpha$ and $\beta$. Without solving the equation, find an equation with integer coefficients whose roots are $\dfrac{1}{\alpha}$ and $\dfrac{1}{\beta}$.

Accepted Answer

$5x^2+8x+1=0$

Equation with reciprocal roots

Equation with reciprocal roots

Solution:

Solution locked