If a+frac{1}{a}+2=0, then the value of left(a | vedclass

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(B) Given the equation: $a+\frac{1}{a}+2=0$Multiply the entire equation by $a$ to clear the denominator:$a^2 + 1 + 2a = 0$This can be rewritten as:$a^

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$-2$

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(B) Given the equation: $a+\frac{1}{a}+2=0$Multiply the entire equation by $a$ to clear the denominator:$a^2 + 1 + 2a = 0$This can be rewritten as:$a^2 + 2a + 1 = 0$$(a+1)^2 = 0$Taking the square root on both sides:$a+1 = 0 \Rightarrow a = -1$Now,substitute $a = -1$ into the expression $\left(a^{37}-\frac{1}{a^{100}}\right)$:$= (-1)^{37} - \frac{1}{(-1)^{100}}$Since $-1$ raised to an odd power is $-1$ and $-1$ raised to an even power is $1$:$= -1 - \frac{1}{1}$$= -1 - 1 = -2$

If $a+\frac{1}{a}+2=0,$ then the value of $\left(a^{37}-\frac{1}{a^{100}}\right)$ is

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