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

Answer

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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Some More Questions From Quadratic Equations Chapter

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x3 – 4x2 – x + 1 = (x – 2)3.

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