Question

यदि m+1/m =-p ,तो दर्शाइए की m² + 1/ m^2=p^2 -2​

Answer 1

$m + \frac{1}{m} = -p$

$\Rightarrow(m + \frac{1}{m})^{2} = (-p)^{2}$

$\Rightarrow m^{2} + 2m\frac{1}{m} + (\frac{1}{m})^{2} = p^{2}$

$\Rightarrow m^{2} + 2 + \frac{1}{m^{2}} = p^{2}$

$\Rightarrow m^{2} + \frac{1}{m^{2}} = p^{2} - 2$

Hope it helps