Which of the following are quadratic equations?

$x(x\ +\ 1)\ +\ 8\ =\ (x\ +\ 2)(x\ –\ 2)$

Given:

Given equation is $x(x\ +\ 1)\ +\ 8\ =\ (x\ +\ 2)(x\ –\ 2)$.

To do:

We have to check whether the given equation is quadratic.

Solution:

The standard form of a quadratic equation is $ax^2+bx+c=0$.

 $x(x\ +\ 1)\ +\ 8\ =\ (x\ +\ 2)(x\ –\ 2)$

$x^2+x+8 =x^2-4$

$x+12=0$

$x+12=0$ is not of the form $ax^2+bx+c=0$ as its degree is $1$.

Therefore, $x(x\ +\ 1)\ +\ 8\ =\ (x\ +\ 2)(x\ –\ 2)$  is not a quadratic equation.

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Updated on: 10-Oct-2022

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