Question

Question 1(iii)
Check whether the following are quadratic equations:
\((iii) (x -2)(x + 1) = (x - 1)(x + 3)

Answer 1

$\left(iii\right)(x-2)(x+1)=(x-1)(x+3)\Rightarrow x^2-x-2=x^2+2x-3\Rightarrow 3x-1=0$
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.