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Question
Check whether the following are the quadratic equation:
(x + 1)2 = 2(x - 3)
Solution
(x + 1)2 = 2(x - 3)
⇒ x2 + 2x + 1 = 2x - 6
⇒ x2 + 2x + 1 - 2x + 6 = 0
⇒ x2 + 7 = 0
It is of the form ax2 + bx + c = 0.
Hence, the given equation is a quadratic equation.
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