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