1.

Check whether the following are quadratic equations:(x + 2)3 = x3 − 4

Answer»

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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