Question

Check if x(x + 1) + 8 = (x + 2) (x – 2) is in the form of quadratic equation.​

Answer 1

$\orange{\huge{\underline{\underline{♡Answer♡}}}}$

$x(x + 1) + 8 = (x + 2) (x – 2)$

$x^2+x+8 = x^2-22$ [By algebraic identities]

Cancel $x^2$ both the sides.

$x+8=-4$

$x+12=0$

Since, this expression is not in the form of$ax^2+bx+c,$ hence it is not a quadratic equation.

Answer 2

✒solution:

Since x(x + 1) + 8 = x2 + x + 8 and (x + 2)(x – 2) = x2 – 4

Therefore, x2 + x + 8 = x2 – 4

i.e., x + 12 = 0

It is not of the form ax2 + bx + c = 0.

Therefore, the given equation is not a quadratic equation..