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I need step by step answer for this... Tomorrow is my exam pls help... Irrelevant answers will be reported...
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Answer:
Given \(a + \frac{1}{a} = 3\), we can find \(a^2 + \frac{1}{a^2}\) using the following steps:
1. **Square the Given Equation:**
\[(a + \frac{1}{a})^2 = 3^2\]
2. **Expand and Simplify:**
\[a^2 + 2 + \frac{1}{a^2} = 9\]
3. **Subtract 2 from Both Sides:**
\[a^2 + \frac{1}{a^2} = 7\]
So, \(a^2 + \frac{1}{a^2} = 7\).