Question

m²- 4m +1 =0 evaluate m³ + 1/m³

Answer 1

$$\begin{gathered} \mathrm{Dear}\mathrm{Student}, \\ {\mathrm{m}}^2-4\mathrm{m}+1=0 \\ \mathrm{Divide}\mathrm{by}\mathrm{m} \\ \mathrm{m}+\frac{1}{\mathrm{m}}=4 \\ \mathrm{Now}{\left(\mathrm{m}+\frac{1}{\mathrm{m}}\right)}^3={\mathrm{m}}^3+\frac{1}{{\mathrm{m}}^3}+3\mathrm{m}\times \frac{1}{\mathrm{m}}\left(\mathrm{m}+\frac{1}{\mathrm{m}}\right) \\ {\mathrm{m}}^3+\frac{1}{{\mathrm{m}}^3}=4^3-3\times 4=64-12=52 \\ \mathrm{Regards} \end{gathered}$$