Given, m + 1 = 6, find the value of 𝑚4+ 1 𝑚 𝑚4

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Accepted Answer

1. Given $m+\frac{1}{m}=6$.

2. Square both sides: $(m+\frac{1}{m})^2=m^2+2+\frac{1}{m^2}=36$. So $m^2+\frac{1}{m^2}=36-2=34$.

3. Square again: $(m^2+\frac{1}{m^2})^2=m^4+2+\frac{1}{m^4}=34^2=1156$. So $m^4+\frac{1}{m^4}=1156-2=1154$.

4. Hence the value is $1154$, which is option **(a)**.

FINAL_ANSWER: a

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