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Question
Decide whether the following equation is quadratic equation or not.
\[x + \frac{1}{x} = - 2\]
Solution
\[x + \frac{1}{x} = - 2\]
Multiplying x by each term
`x xx x + x xx 1/x = x xx (-2)`
⇒x2 + 1 = -2x
x2 + 2x + 1 = 0
Only one variable x.
Maximum index = 2
So, it is a quadratic equation.
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