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Question
Check whether the following is the quadratic equation:
x2 + 3x + 1 = (x - 2)2
Solution
x2 + 3x + 1 = (x - 2)2
⇒ x2 + 3x + 1 = x2 + 4 - 4x
⇒ x2 + 3x + 1 - x2 + 4x - 4 = 0
⇒ 7x - 3 = 0
It is not of the form ax2 + bx + c = 0.
Hence, the given equation is not a quadratic equation.
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