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Question
Check whether the following is the quadratic equation:
(x - 2)(x + 1) = (x - 1)(x + 3)
Solution
(x - 2)(x + 1) = (x - 1)(x + 3)
⇒ x2 - x - 2 = x2 + 2x - 3
⇒ x2 - x - 2 - x2 - 2x + 3 = 0
⇒ -3x - 1 = 0
Since -3x + 1 is a linear polynomial.
∴ (x - 2)(x + 1) = (x - 1)(x + 3) is not a quadratic equation.
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