Question

Check whether the following is quadratic equation or not.

x(x + 1) + 8 = (x + 2) (x - 2)

Answer 1

Here it has been given that,

x(x + 1) + 8 = (x + 2) (x − 2)

Now, solving the above equation further we get,

x² + x + 8 = x² - 4

x + 12 = 0

Now as we can see, the above equation clearly does not represent a quadratic equation of the form ax² + bx + c = 0, because x + 12 = 0 is a linear equation which does not have a x² term in it.

Hence, the above equation is not a quadratic equation.