Question

If $\alpha$ and $\beta$ are roots of given equation $8x^2-8\sqrt{2}x+4=0$ and $\alpha \beta =\frac{1}{m}$, then find $m$.

Answer 1

$8x^2-8\sqrt{2}x+4=0$

comparing with equation $a{x}^2+bx+c=0$

$a=8$, $b=-8\sqrt{2}$, $c=4$

$\alpha \beta =\frac{1}{m}=\frac{c}{a}=\frac{4}{8}$

$\therefore m=2$