Quadratic Equations
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Check whether the following are quadratic equations:
x2 – 2x = (–2) (3 – x)

R.H.S. = (–2) (3 – x) = – 6 + 2x
∴ x2 – 2x = – 6 + 2x
⇒ x2 – 2x + 6 – 2x = 0
⇒ x2 – 4x + 6 = 0
∵ It is of the form ax2 + bx + c = 0 where a = 1,b = –4, c = 6.
Hence, the given equation is a quadratic equation.

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