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Question
Which of the following are quadratic equation in x?
`(x+1/x)^2=2(x+1/x)+3`
Solution
`(x+1/x)^2=-2(x+1/x)+3`
⇒`((x^2+1)/x)^2=2((x^2+1)/x)+3`
⇒`(x^2+1)^2=2x(x^2+1)+3x^2`
⇒` x^4+2x^2+1=2x^3+2x+3x^2`
⇒`x^4-2x^3-x^2-2x+1=0`
This is not of the form `ax^2-bx+c=0`
Hence, the given equation is not a quadratic equation.
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