Question

If a+1/a = -2, then find the value of a²+1/a². Please answer this question.​

Answer 1

Answer:

$a^2+\frac{1}{a^2}=2$

Explanation:

$a+\frac{1}{a}=-2\\\\(a+\frac{1}{a})^{^2}=2^{^2}\\\\a^2+(\frac{1}{a})^2+2(a)(\frac{1}{a})=4\\\\a^2+\frac{1}{a^2}+2=4\\\\a^2+\frac{1}{a^2}=4-2\\\\a^2+\frac{1}{a^2}=2$

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