Trying to find the right answer to this..

L.H.S. = (x–2) (x + 1) = x 2 – x – 2 R.H.S. = (x – 1) (x + 3) = x 2 + 2x – 3 ∴ x 2 – x – 2 = x 2 + 2x – 3 ⇒ – x –2 – 2x + 3 = 0 ⇒ – 3x + 1 = 0 ∵ It is not of the form ax 2 + bx + c = 0. Hence, the given equation is not a quadratic equation.

Check whether the following are quadratic equations:
(x – 2) (x + 1) = (x – 1) (x + 3)

L.H.S. = (x–2) (x + 1)
= x² – x – 2
R.H.S. = (x – 1) (x + 3)
= x² + 2x – 3
∴ x² – x – 2 = x² + 2x – 3
⇒ – x –2 – 2x + 3 = 0
⇒ – 3x + 1 = 0
∵ It is not of the form ax² + bx + c = 0.
Hence, the given equation is not a quadratic equation.

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