Check whether the following are quadratic equations:
(x − 2) (x + 1) = (x − 1) (x + 3)
Given; (x − 2) (x + 1) = (x − 1) (x + 3)
⇒ x2 + x − 2x − 2 = x2 + 3x − x − 3
⇒ x2 − x − 2 − x2 − 2x + 3 = 0
⇒ −3x + 1 = 0
∵ The highest power of x in the equation is 1;
∴ It is not a quadratic equation.
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