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Question
Which of the following is a quadratic equation?
(a)` (x^2+1)=(2-x)^2+3` (b)` x^3-x^2=(x-1)^3`
(c) `2x^+3=(5+x)(2x-3)` (d) None of these
Solution
`x^3-x^2=(x-1)^3`
∵ `x^3-x^2=(x-1)^3`
⇒ `x^3-x^2=x^3-3x^2+3x-1`
⇒ `2x^2-3x+1=0` which is a quadratic equation
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