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

L.H.S. = (x + 1)2 = x2 + 2x + 1
R.H.S. = 2(x – 3) = 2x –6
∴ 6x2 + 2x + 1 = 2x - 6
⇒ x2 + 2x + 1–2x + 6 = 0
⇒ x2+ 7 = 0
∵ It is of the form ax2 + bx + c = 0, where a = 1,b = 0, c = 7.
Hence, the given equation is a quadratic equation.

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