Question

If m+1/m= 3, then prove that m^5+1/m^5= 123

Answer 1

Step-by-step explanation:

$\qquad\sf {:}\longrightarrow m+\dfrac {1}{m}=3$

$\qquad\sf {:}\longrightarrow m^2+1/m=3$

$\qquad\sf {:}\longrightarrow m^2+1=3m$

$\qquad\sf {:}\longrightarrow m^2-3m+1=0$