Question

if m power2 +1 upon m power2 =23 find value of m+1 upon m​

Answer 1

m² + $\frac{1}{{m}^{2}}$ = 23

adding 2 on both sides, we get–

m² + $\frac{1}{{m}^{2}}$ + 2 = 25

m² + $\frac{1}{{m}^{2}} + (2m)( \frac{1}{m})$ = 25

${(m+ \frac{1}{m})}^{2}$ = 25

m + $\frac{1}{m}$ = 5