1.

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

Answer»

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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