Question

[a+1/a]²=3, a is not equal to 0
Show that a²+1/a²​

Answer 1

Answer:

a²+1/a²​= 1

Step-by-step explanation:

$(a+\frac{1}{a})^{2} = 3$ where a ≠ 0

⇒$a^{2}+(2*a*\frac{1}{a})+\frac{1^{2}}{a^{2} } = 3$

⇒$a^{2} + \frac{1}{a^{2} } + 2 = 3$

∴$a^{2} + \frac{1}{a^{2} } = 1$

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