Check whether the following are quadratic equations:
(x + 1) (x − 1) = (x + 2) (x + 3)
Given; (x + 1) (x − 1) = (x + 2) (x + 3)
⇒ x2 − 12 = x2 + 5x + 6
⇒ x2 − 1 − x2 − 5x − 6 = 0
⇒ −5x − 7 = 0
∵ The highest power of x in the equation is 1;
∴ It is not a quadratic equation.
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