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Question
Check whether the following is quadratic equation or not.
(x + 2)3 = x3 − 4
Solution
Here it has been given that,
(x + 2)3 = x3 − 4
Now, after solving the above equation further we get,
x3 + 8 + 3(x)(2)(x + 2) = x3 - 4
12 + 6x2 + 12x = 0
x2 + 2x + 2 = 0
Now as we can see, the above equation clearly represents a quadratic equation of the form ax2 + bx + c = 0, where a = 1, b = 2 and c = 2.
Hence, the above equation is a quadratic equation.
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