Question

Check whether the following is a quadratic equation:
$(x-2)(x+1)=(x-1)(x+3)$
(2 Marks)

Answer 1

$(x-2)(x+1)=(x-1)(x+3)\Rightarrow x^2-x-2=x^2+2x-3\Rightarrow 3x-1=0\left(1Mark\right)$
It is not of the form $a{x}^2+bx+c=0$ as a = 0 in this case.
Hence, the given equation is not a quadratic equation. (1 Mark)