Check whether the following are quadratic equations:
(x + 2)3 = x3 − 4
Given; (x + 2)3 = x3 − 4
⇒ x3 + 6x2 + 12x + 23 = x3 − 4
⇒ x3 + 6x2 + 12x + 23− x3 + 4 = 0
⇒ 6x2 + 12x + 12 = 0
∵ The highest power of x in the equation is 2;
∴ It is a quadratic equation.
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