1.

Check whether the following are quadratic equations:x2 + 3x + 1 = (x − 2)2

Answer»

Given; x2 + 3x + 1 = (x − 2)2

⇒ x2 + 3x + 1 = x2 − 4x + 4

⇒ x2 + 3x + 1 − x2 − 4x − 4 = 0

⇒ −x − 3 = 0

∵ The highest power of x in the equation is 1;

∴ It is not a quadratic equation.



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