The given equation are quadratic equation?
x(x + 1) + 8 = (x + 2)(x – 2)
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Given,
x(x + 1) + 8 = (x + 2)(x – 2)
x2 + x + 8 = x2 – 4
⇒ x + 12 = 0
Now, it’s clearly seen that x + 12 is a not quadratic polynomial since its degree is 1. Thus, the given equation is not a quadratic equation.